Y=7x + 10

y=-4x - 23

That's two lines; presumably we want the meet.

7x + 10 = - 4x - 23

11 x = - 33

x = - 3

y = 7x + 10 = - 11

Answer: x=-3, y=-11

check:

-4 (-3) - 23 = 12-23 = - 11, good

x = - 3

y = - 11

Step-by-step explanation:

to solve this linear equation using substitution method

let us say that

y=7x + 10 ... equation 1

y = - 4x - 23 ... equation2

substitute equation 1 into equation 2

7x + 10 = - 4x - 23

collect the like terms

7x + 4x = - 23 - 10

11x = - 33

divide both sides by the coefficient of x which is 11

11x/11 = - 33/11

x = - 3

put the value of x = - 3 into equation 2

y = - 4x - 23 ... equation2

y = - 4 (-3) - 23

y = 12 - 23

y = - 11

therefore the value of x and y is - 3 and - 11 respectively