Question

Examine the system of equations.

y = negative one-fourth x minus 2

x = 4

What is the solution to the system?
(–3, –2)
(4, –3)
(4, –2)
(4, –1)
Can you please give me an explanation too.

Answer 1

Explanation

• Given the system of equations.

$y = - \frac{1}{4} x - 2 \\ x = 4$

• Substitute x = 4 in the first equation.

$y = - \frac{1}{4} (4) - 2 \\ y = - 1 - 2 \\ y = - 3$

We have both x and y values. Therefore, we can answer in coordinate point form.

Answer

$\large \boxed{(4, - 3)}$

Answer 2

Explanation

Given the system of equations.

Substitute x = 4 in the first equation.

We have both x and y values. Therefore, we can answer in coordinate point form.

Answer

4,-3