Question

Solve the system of equations using elimination.
2y-5x=-2
3y+2x=35

Answer 1

x=4 and y=9

Explanation:

Multiply the first equation by 3, and multiply the second equation by -2.

-15x+6y=-6

-6x-4y=−70

Add these equations to eliminate y:

−19x=−76

Divide both sides by -19

x=4

Write down an original equation:

2y−5x=−2

2y-20=-2

2y=18

y=9

Answer 2

x = 4

y = 9

Explanation:

2y -5x = -2

3y + 2x = 35

Time the second equation by 2.5

2y - 5x = - 2

7.5y + 5x = 87.5

9.5y = 85.5

y = 9

Now put 9 in for y and solve for x

2(9) - 5x = -2

18 - 5x = -2

-5x = -20

x = 4

Let's check

3(9) + 2(4) = 35

27 + 8 = 35

35 = 35

So, x = 4 and y = 9 is the correct answer!