Question

19 multiple choice 1 point identify the solution(s) to the equation (x - 4)(x + 7) = 0 x = -4 and x = -7 x = -7 only x = 4 and x = 7 x = 4 and x = -7 x = 4 only x = -4 and x = 7 x = 7 only x = -4 only

Explanation:

For Question 18:

Step1: Isolate $y$ from first eq.

From $-5x + y = -5$, we get $y = 5x - 5$.

Step2: Substitute $y$ into second eq.

Substitute $y=5x-5$ into $-4x + 2y = 2$:
$-4x + 2(5x - 5) = 2$

Step3: Simplify to solve for $x$

$-4x + 10x - 10 = 2$
$6x = 12$
$x = 2$

Step4: Substitute $x$ to find $y$

$y = 5(2) - 5 = 5$

Step1: Apply zero product rule

Set each factor equal to 0:
$x - 4 = 0$ or $x + 7 = 0$

Step2: Solve each linear equation

$x = 4$ or $x = -7$

Answer:

(2, 5)

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For Question 19: