Question

Solve the system of equations shown by substitution. y=x-5 5x+2y=4

Answer 1

x = 2, y = -3

Explanation:

y= x - 5

5x + 2y = 4

5x + 2(x - 5) = 4

5x + 2x - 10 = 4

7x = 14

x = 2

y = 2 - 5

y = -3

Answer 2

x=2,y=-3

Explanation:

y=x-5....(1)

5x+2y=4...(2)

Let's substitute (1) into (2)

5x+2(x-5)=4

5x+2x-10=4

7x-10=4

Add 10 to both sides

7x=14

Divide both sides by 7

x=2

Substitute the value for x into (1)

y=x-5

y=2-5

y=-3

Therefore x is 2,y is-3