Question

If 2x+ y= 10 and y=3x find the value of both x and y

Answer 1

Given the set of equations:

2x + y = 10

y = 3x

Let's solve for x and y.

Here, let's use substitution method.

Substitute 3x for y in equation 1:

2x + y = 10

2x + 3x = 10

5x = 10

Divide both sides by 5:

$\begin{gathered} \frac{5x}{5}=\frac{10}{5} \\ \\ x=2 \end{gathered}$

In equation 2, substitute 2 for x to find y.

y = 3x

y = 3(2)

y = 6

Therefore, we have:

x = 2 and y = 6

ANSWER:

x = 2, y = 6