Question

4x+4y=4 3x+4y=10 Solve for elimination

Answer 1

Answer:

The solution is x=-6 and y=7

Step-by-step explanation:

Given equations are:

$4x+4y =4\\3x+4y = 10$

In elimination method, the co-efficient of one of the variables are equated so that one variable can be eliminated by adding or subtracting the equations

In the given system of equations, the co-efficient of y is already same i.e. 4 so we only have to subtract the equations

Subtracting equation 2 from equation 1

$4x+4y-(3x+4y) = 4-10\\4x+4y-3x-4y = -6\\4x-3x = -6\\x = -6$

Putting x = -6 in equation 1

$4(-6)+4y = 4\\-24+4y = 4\\4y = 4+24\\4y = 28\\\frac{4y}{4} = \frac{28}{4}\\y = 7$

Hence

The solution is x=-6 and y=7