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:

−9y+4x−20=0−7y+16x−80=0-9y+4x-20=0-7y+16x-80=0 what is x+2yx+2y?

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Solve linear equations: mixed reviewright chevron icon

Full solution

Q. −9y+4x−20=0−7y+16x−80=0-9y+4x-20=0-7y+16x-80=0 what is x+2yx+2y?
  1. Multiply and Align y Terms: Now, let's solve the system of equations using the elimination method. We can multiply the first equation by 22 to align the y terms.\newline2(−9y+4x−20)=2(0)2(-9y + 4x - 20) = 2(0)\newline−18y+8x−40=0-18y + 8x - 40 = 0
  2. Add Equations: Next, we add the second equation to the modified first equation.\newline(−18y+8x−40)+(−7y+16x−80)=0+0(-18y + 8x - 40) + (-7y + 16x - 80) = 0 + 0\newline−25y+24x−120=0-25y + 24x - 120 = 0
  3. Solve for x: Now, let's solve for xx by isolating it on one side.24x=25y+12024x = 25y + 120x=25y+12024x = \frac{25y + 120}{24}
  4. Substitute xx to Find yy: We substitute xx back into one of the original equations to find yy.\newline−9y+4((25y+120)/24)−20=0-9y + 4((25y + 120) / 24) - 20 = 0\newline−9y+(100y+480)/24−20=0-9y + (100y + 480) / 24 - 20 = 0
  5. Simplify the Equation: Now, let's simplify the equation.\newline−9y+100y+48024−20=0-9y + \frac{100y + 480}{24} - 20 = 0\newline−9y+100y24+48024−20=0-9y + \frac{100y}{24} + \frac{480}{24} - 20 = 0\newline−9y+100y24+20−20=0-9y + \frac{100y}{24} + 20 - 20 = 0

More problems from Solve linear equations: mixed review

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 (294)