Question

Use substitution to solve the following system of equations.-3x - 4y = 2−3x−4y=2minus, 3, x, minus, 4, y, equals, 2-5 = 5x + 5y−5=5x+5y

Answer 1

Answer:

The solution to this system is (-2,1)

Step-by-step explanation:

The given system of equations is;

$-3x-4y=2$...eqn1

and

$-5=5x+5y$....eqn2

We make y the subject of the second equation to get:

$-5y=5x+5$

$\implies y=-x-1$...eqn3

We put eqn3 into eqn1 to get;

$-3x-4(-x-1)=2$

We expand to get:

$-3x+4x+4=2$

$-3x+4x=2-4$

Simplify both sides to get:

$x=-2$

Put x=-2 into eqn3

$\implies y=--2-1$

$\implies y=1$

The solution to this system is therefore (-2,1)