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:

Solve using elimination.\newline7x+10y=−77x + 10y = -7\newline9x+10y=119x + 10y = 11\newline(_____, _____)

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 8right chevron icon
Solve a system of equations using eliminationright chevron icon

Full solution

Q. Solve using elimination.\newline7x+10y=−77x + 10y = -7\newline9x+10y=119x + 10y = 11\newline(_____, _____)
  1. Write Equations: Write down the system of equations to be solved using elimination.\newline7x+10y=−77x + 10y = -7\newline9x+10y=119x + 10y = 11
  2. Eliminate y: Subtract the first equation from the second equation to eliminate the y-variable.\newline(9x+10y)−(7x+10y)=11−(–7)(9x + 10y) - (7x + 10y) = 11 - (–7)
  3. Find x: Perform the subtraction to find the value of x.\newline9x−7x+10y−10y=11+79x - 7x + 10y - 10y = 11 + 7\newline2x=182x = 18
  4. Solve for x: Divide both sides of the equation by 22 to solve for x.\newline2x2=182\frac{2x}{2} = \frac{18}{2}\newlinex=9x = 9
  5. Substitute for y: Substitute the value of xx back into one of the original equations to solve for yy. Using the first equation: 7x+10y=−77x + 10y = -7 7(9)+10y=−77(9) + 10y = -7
  6. Simplify Equation: Perform the multiplication and simplify the equation. 63+10y=−763 + 10y = -7
  7. Solve for y: Subtract 6363 from both sides of the equation to solve for y.\newline10y=−7−6310y = -7 - 63\newline10y=−7010y = -70
  8. Final Result: Divide both sides of the equation by 1010 to find the value of y.\newline10y10=−7010\frac{10y}{10} = \frac{-70}{10}\newliney=−7y = -7

More problems from Solve a system of equations using elimination

Question
Solve using substitution. 5x−2y=−7 5x - 2y = -7 x=−5 x = -5 (_,_)
Get tutor helpright-arrow

Posted 2 months ago

Question
Is (1,1)(1,1) a solution to this system of equations? \newline4x+10y=144x + 10y = 14\newlinex+6y=7x + 6y = 7\newlineChoices:\newline(A) yes \newline(B) no
Get tutor helpright-arrow

Posted 2 months ago

Question
Which describes the system of equations below?\newliney=–3x+9y = –3x + 9 \newliney=–3x+9y = –3x + 9 \newlineChoices:\newline(A) consistent and independent\text{(A) consistent and independent} \newline(B) consistent and dependent\text{(B) consistent and dependent} \newline(C) inconsistent\text{(C) inconsistent}
Get tutor helpright-arrow

Posted 2 months ago

Question
Solve using elimination. \newline7x−8y=−17 7x - 8y = -17 \newline −7x+3y=2 -7x + 3y = 2 \newline (____,____)(\_\_\_\_, \_\_\_\_)
Get tutor helpright-arrow

Posted 2 months ago

Question
Solve. \newlinex=−2 x = -2 \newline−2x+2y=−8 -2x + 2y = -8 \newline(____,____)(\_\_\_\_, \_\_\_\_)
Get tutor helpright-arrow

Posted 2 months ago

Question
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.\newlineAt a community barbecue, Mrs. Wilkerson and Mr. Hogan are buying dinner for their families. Mrs. Wilkerson purchases 33 hot dog meals and 33 hamburger meals, paying a total of $36\$36. Mr. Hogan buys 11 hot dog meal and 33 hamburger meals, spending $26\$26 in all. How much do the meals cost?\newlineHot dog meals cost $\$_______ each, and hamburger meals cost $\$________ each.
Get tutor helpright-arrow

Posted 2 months ago

Question
Solve the system of equations by substitution.\newline−3x−y−3z=−11-3x - y - 3z = -11\newlinez=5z = 5\newlinex−y+3z=19x - y + 3z = 19\newline(____.____,____)
Get tutor helpright-arrow

Posted 2 months ago

Question
Solve the system of equations by elimination.\newlinex−3y−2z=10 x - 3y - 2z = 10 \newline3x+2y+2z=14 3x + 2y + 2z = 14 \newline2x−3y−2z=16 2x - 3y - 2z = 16 \newline(_,_,_)(\_,\_,\_)
Get tutor helpright-arrow

Posted 1 month ago

Question
Solve the system of equations.\newliney=x2+36x+3 y = x^2 + 36x + 3 \newliney=22x−37 y = 22x - 37 \newlineWrite the coordinates in exact form. Simplify all fractions and radicals.\newline(_,_)(\_,\_)\newline(_,_)(\_,\_)
Get tutor helpright-arrow

Posted 1 month ago

Question
Solve the system of equations.\newliney=−x−24 y = -x - 24 \newlinex2+y2=488 x^2 + y^2 = 488 \newlineWrite the coordinates in exact form. Simplify all fractions and radicals.\newline(_,_) (\_,\_) \newline(_,_) (\_,\_)
Get tutor helpright-arrow

Posted 2 months ago

View all (162)