Question

To eliminate the y-terms and solve for x in the fewest steps, by which constants should the equations be multiplied? First Equation: 5x − 4y = 28 Second equation: 3x - 9y = 30

Answer 1

For the equation: you multiply by -1/4

For the second one you multiply by -1/9

Answer 2

Answer:

To eliminate y terms and solve for x, multiply equation (1) by 9 and equation (2) by 4 and solving further we get x= 4

Step-by-step explanation:

Solving by elimination method by eliminating y- terms.

$5x-4y=28$   .............(1)

$3x-9y=30$   .............(2)

To eliminate y terms multiply equation (1) by 9 and equation (2) by 4 to make each term the highest common factor (hcf) of 4 and 9 = 36.

Equation becomes,

$45x-36y=252$

$12x-36y=120$

Subtract the two equation we get ,

$33x=252-120$

$33x=132$

$x=4$

Thus,To eliminate y terms and solve for x, multiply equation (1) by 9 and equation (2) by 4.