Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

bigideasmath com (ty IS MATH #2 i Listen Solve the system by graphing. {:[3x-y=-1],[y=-x+5]:} The solution is ◻ , ◻ Previous 1 2 3 4 5

bigideasmath com\newline(ty IS MATH\newline\#22 i\newlineListen\newlineSolve the system by graphing.\newline3x−y=−1y=−x+5 \begin{array}{l} 3 x-y=-1 \\ y=-x+5 \end{array} \newlineThe solution is □ \square , □ \square \newlinePrevious\newline11\newline22\newline33\newline44\newline55

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Solve linear equations with variables on both sides: word problemsright chevron icon

Full solution

Q. bigideasmath com\newline(ty IS MATH\newline\#22 i\newlineListen\newlineSolve the system by graphing.\newline3x−y=−1y=−x+5 \begin{array}{l} 3 x-y=-1 \\ y=-x+5 \end{array} \newlineThe solution is □ \square , □ \square \newlinePrevious\newline11\newline22\newline33\newline44\newline55
  1. Rewrite Equations: First, let's rewrite the equations in slope-intercept form y=mx+by = mx + b.\newlineFor the first equation, 3x−y=−13x - y = -1, we add yy to both sides and then add 11 to both sides to get y=3x+1y = 3x + 1.
  2. Graph First Equation: Now, let's graph the first equation y=3x+1y = 3x + 1. We start by plotting the y-intercept (0,1)(0, 1) and then use the slope 33 to plot another point.
  3. Graph Second Equation: For the second equation, y=−x+5y = -x + 5, it's already in slope-intercept form. We plot the y-intercept (0,5)(0, 5) and use the slope −1-1 to plot another point.
  4. Find Intersection Point: After plotting both lines on the graph, we look for the point where they intersect. This point is the solution to the system of equations.
  5. Solution: The lines intersect at the point (2,3)(2, 3). So, the solution to the system of equations is x=2x = 2 and y=3y = 3.

More problems from Solve linear equations with variables on both sides: word problems

Question
Solve for x. \newline(34)x=12(\frac{3}{4})x= 12 \newlinex=x = ______
Get tutor helpright-arrow

Posted 2 months ago

Question
Solve for x. \newline−59x=15-\frac{5}{9}x= 15 \newlinex=x = ______
Get tutor helpright-arrow

Posted 1 month ago

Question
How many solutions does the following equation have?\newline5x+8−7x=−4x+15x+8-7x=-4x+1\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions
Get tutor helpright-arrow

Posted 4 months ago

Question
How many solutions does the following equation have?\newline−2z+10+7z=16z+7-2z+10+7z=16z+7\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions
Get tutor helpright-arrow

Posted 4 months ago

Question
How many solutions does the following equation have?\newline7(y−8)=7y+427(y-8)=7y+42\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions
Get tutor helpright-arrow

Posted 4 months ago

Question
How many solutions does the following equation have?\newline−9(x+6)=−9x+108-9(x+6)=-9x+108\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions
Get tutor helpright-arrow

Posted 4 months ago

Question
How many solutions does the following equation have?\newline−6(x+7)=−4x−2-6(x+7)=-4x-2\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions
Get tutor helpright-arrow

Posted 4 months ago

Question
How many solutions does the following equation have?\newline−4x−7+10x=−7+6x-4x-7+10x=-7+6x\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions
Get tutor helpright-arrow

Posted 4 months ago

Question
How many solutions does the following equation have?\newline−17(y−2)=−17y+64-17(y-2)=-17y+64\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions
Get tutor helpright-arrow

Posted 4 months ago

Question
How many solutions does the following equation have?\newline9z−6+7z=16z−69z-6+7z=16z-6\newlineChoose 11 answer:\newline(A) No solutions\newline(B) Exactly one solution\newline(C) Infinitely many solutions
Get tutor helpright-arrow

Posted 4 months ago

View all (147)