Question

question
find the solution of the system of equations.
$8x - 4y = 0$
$7x + 8y = 23$
answer attempt 1 out of 2
(\square,\square) submit answer

Explanation:

Step1: Eliminate y via equation scaling

Multiply first equation by 2:
$$2(8x - 4y) = 2(0) \implies 16x - 8y = 0$$

Step2: Add to second equation

Add scaled eq1 to eq2:
$$(16x - 8y) + (7x + 8y) = 0 + 23$$
$$23x = 23$$

Step3: Solve for x

Divide both sides by 23:
$$x = \frac{23}{23} = 1$$

Step4: Substitute x into first equation

Plug $x=1$ into $8x - 4y = 0$:
$$8(1) - 4y = 0 \implies 8 - 4y = 0$$

Step5: Solve for y

Isolate y:
$$-4y = -8 \implies y = \frac{-8}{-4} = 2$$

Answer:

$(1, 2)$