Question

Given the system of linear equations:

Answer 1

Answer:

(1,6)

Step-by-step explanation:

To solve by substitution, rearrange -x+y=5 to y=x+5 and substitute it into 4x+y=10.

4x + (x+5) = 10

4x+x+5=10

5x+5=10

5x=5

x=1

Now substitute x = 1 back in to find y.

y= (1) + 5

y=6

Solution is (1,6)

Verify substituting both values into each equation in to verify true.

-x+y=5

-(1)+6 = 5

-1+6=5

5=5 True

4(1)+6=10

4+6=10

10=10 True