Question

y=7x + 10
y=-4x – 23

Answer 1

Answer:

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

Answer 2

Solution is x=-3 , y=-11.

We set the ys equal.

$7x+10=-4x-23\\7x+4x=-23-10\\11x=-33\\x=-3$

For x=-3,

$y=7x+10\\y=7(-3)+10\\y=-21+10\\y=-11$

Solution is x=-3 , y=-11.

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