Question

2x+3y=86+-2x-2y=-74 i need help

Answer 1

To solve this system of equations:

2x + 3y = 86 (equation 1)

-2x - 2y = -74 (equation 2)

We can eliminate x by adding the two equations:

2x + 3y = 86

-2x - 2y = -74

-------------

0x + y = 12

Therefore, y = 12.

Substituting y = 12 into equation 1, we can solve for x:

2x + 3y = 86

2x + 3(12) = 86

2x + 36 = 86

2x = 50

x = 25

Therefore, the solution to the system of equations is x = 25 and y = 12.

Answer 2

(x, y) = (25, 12)

Explanation:

You want to solve the system of equations by addition.

• 2x +3y = 86
• -2x -2y = -74

Addition

To solve this system by "addition," we add the left sides of the equal sign, and we add the right sides of the equal sign.

(2x +3y) + (-2x -2y) = (86) + (-74)

(2 -2)x +(3 -2)y = 86 -74 . . . . . . . . . . combine like terms

y = 12 . . . . . . . . . . . . . . . . . . . . simplify

We can substitute into either equation to find the value of x.

2x +3(12) = 86

2x = 50 . . . . . . . subtract 36 from both sides

x = 25 . . . . . . divide both sides by 2

The solution is (x, y) = (25, 12).