Question

What is the solution of the system? {5x−y=−21 x+y=−3 Enter your answer in the boxes. (( , )

Answer 1

5x - y = -21
y = 5x + 21

Substituting into:
x + y = -3

x + 5x + 21 = -3
6x = -24
x = -4
y = 5(-4) + 21
y = 1

Solution: (-4,1)

Answer 2

The solution of the given system of equation is (-4, 1)

Explanation:

Given system of equation 5x− y = −21 and x+y= −3

We have to find the solution of the given system of equation.

Consider the

Given system of equation

5x− y = −21 .......(1)

x + y = −3 .......(2)

Adding (1) and (2) , we have,

⇒ 5x - y + (x + y ) = -21 + (-3 )

⇒ 5x - y + x + y = -21 - 3

⇒ 5x + x = -24

⇒ 6x = -24

⇒ x = -4

Substitute x = -4 in (2) , we get,

x + y = −3 ⇒ (-4) + y = −3 ⇒ y = -3 + 4 ⇒ y = 1

Thus, the solution of the given system of equation is (-4, 1)