How do you solve y + 3x = 5 and y = 2x + 5?

Aug 2, 2015

$\textcolor{red}{x = 0 , y = 5}$

Explanation:

One way is to use the method of elimination.

Step 1. Enter the equations.

[1] $y + 3 x = 5$
[2] $y = 2 x + 5$

Step2. Prepare the equations.

[3] $3 x + y = 5$
[4] $2 x - y = - 5$

[5] $5 x = 0$

Step 4. Solve for $x$.

[6] $x = 0$

Step 5. Substitute Equation 6 in Equation 1.

$y + 3 x = 5$

$y + 3 \left(0\right) = 5$

$y + 0 = 5$

$y = 5$

Solution: $x = 0 , y = 5$

Check: Substitute the values of $x$ and $y$ in Equation 2.

$y = 2 x + 5$
$5 = 2 \left(0\right) + 5$
$5 = 0 + 5$
$5 = 5$