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Use substitution to find the solution

of this system of equations.
-2x + y=-5
2y + 3x = 4

User Leoinfo
by
7.1k points

2 Answers

5 votes

Answer:

x = 2 y = -1 or (2,-1)

Explanation:

-2x + y= -5

Moved -2x to the other side

y = 2x - 5

2y + 3x = 4

Substitute y with 2x - 5

2(2x - 5) + 3x = 4

Distribute

4x - 10 + 3x = 4

Combine the terms

7x - 10 = 4

Move the constant to the other side

7x - 10 = 4

+10 +10

7x = 14

Divide both side by 7

7x/7 = 14/7

x = 2

Back to -2x + y= -5

Substitute the x with 2

-2(2) + y = -5

Combine the terms

-4 + y = -5

Move the constant to the other side

-4 + y = -5

+4 +4

y = -1

User Rakhat
by
7.6k points
4 votes

Answer:

4

Explanation:

User Hitesh Mundra
by
9.2k points

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