Question

question 18 of 22
x - 3y = - 5
5x = y + 3
which of the following ordered pairs (x, y) is the solution to the above system of equations?
a. (11, 2)
b. (2, 1)
c. (1, 2)
d. (-1, 2)

Explanation:

Step1: Rearrange the first - equation

Given $5x=y + 3$, we can express $y$ in terms of $x$ as $y=5x - 3$.

Step2: Substitute $y$ into the second - equation

Substitute $y = 5x-3$ into $x-3y=-5$. We get $x-3(5x - 3)=-5$.
Expand the left - hand side: $x-15x + 9=-5$.
Combine like terms: $-14x=-5 - 9=-14$.
Solve for $x$: $x = 1$.

Step3: Find the value of $y$

Substitute $x = 1$ into $y=5x - 3$. Then $y=5\times1-3=2$.

Answer:

C. (1, 2)