Question

Simpson is solving the systems of equations below by substitution. Show Mr. Simpsons first step if he substitutes the first equation into the second equation. DO
SOLVE!


y = 5x + 12

3y + 4x = 150


I’m struggling on this one.

Answer 1

Answer:

$x=6,y=42$

Step-by-step explanation:

The equations are

$y=5x+12$

$3y+4x=150$

Substituting the first equation in the second we get

$3(5x+12)+4x=150$

$\Rightarrow 15x+36+4x=150$

$\Rightarrow x=\dfrac{150-36}{19}$

$\Rightarrow x=6$

$y=5x+12=5\times 6+12\\\Rightarrow y=42$

So, the required values are $x=6,y=42$