Question

Solve the system by substitution y = x y = 4x - 9

Answer 1

Answer:

The answer is (3,3) or x=3, y=3

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

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Answer 2

Answer:

The solution to the system of equations will be:

$y=3,\:x=3$

Step-by-step explanation:

Given the system of equations

y = x

y = 4x - 9

solving the system of equations by the substitution method

$\begin{bmatrix}y=x\\ y=4x-9\end{bmatrix}$

substitute y = 4x - 9

$\begin{bmatrix}4x-9=x\end{bmatrix}$

now isolate x for 4x-9 = x

$4x-9=x$

Add 9 to both sides

$4x-9+9=x+9$

Simplify

$4x=x+9$

Subtract x from both sides

$4x-x=x+9-x$

Simplify

$3x=9$

Divide both sides by 3

$\frac{3x}{3}=\frac{9}{3}$

Simplify

$x=3$

For y=4x-9 substituute x = 3

$y=4\cdot \:3-9$

Simplify

$y=3$

Therefore, the solution to the system of equations will be:

$y=3,\:x=3$