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

x=2, y=-3

Step-by-step 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

x = 2, y = - 3

Step-by-step 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