Question

-Solve this system of equations by using theelimination method.5x – 4y = 63x + 2y = 8If we multiply the entire second equation by 2,we can cancel out the variable of y.2(3x + 2y = 8)[ ? ]x + y = 0Hint: Using the distributive property,calculate the new values of our equation.

Answer 1

Multiply the equation by 2 on both sides

so

Applying distributive property

2[3x+2y=8] ------> 2(3x)+2(2y)=2(8) ------> 6x+4y=16

therefore

the resultant new equation 2 is

6x+4y=16