Question

1. what is the solution to this system of equations? \

$$\begin{cases} 2x + 4y = 22 \\\\ 7x + y = 12 \\end{cases}$$

a (3, 4) b (2, -2) c (1, 5) d (-1, 6)

Explanation:

Step1: Solve the second equation for y

From \(7x + y = 12\), we get \(y = 12 - 7x\).

Step2: Substitute y into the first equation

Substitute \(y = 12 - 7x\) into \(2x + 4y = 22\):

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Step3: Find y using x = 1

Substitute \(x = 1\) into \(y = 12 - 7x\):
\(y = 12 - 7(1) = 12 - 7 = 5\)
So the solution is \((1, 5)\).

Answer:

C. (1, 5)