Solve by substitution x+7y=0 2x-8y=22

(x, y) = (7, - 1)

Step-by-step explanation:

given the 2 equations

x + 7y = 0 → (1)

2x - 8y = 22 → (2)

Rearrange (1) expressing x in terms of y by subtracting 7y from both sides

x = - 7y → (3)

Substitute x = - 7y in (2)

2(- 7y) - 8y = 22

- 14y - 8y = 22

- 22y = 22 ( divide both sides by - 22 )

y = - 1

Substitute y = - 1 into (3) for corresponding value of x

x = - 7 × - 1 = 7

Solution is (7, - 1 )

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions