Answer:
x= 4
y= 8
Explanation:
Elimination is a method to solve a system of equations by eliminate a variable. To eliminate a variable, you have to find the common multiple of the coefficient. Let's say we want to eliminate y and solve x first. The coefficient of y in the equations is 6 and 1, the least common multiple will be 6.
5х + y = 28 x6
30х + 6*y = 168
So we need to multiply the second equation by 6. The calculation will be:
8х - 6у = -16
30х + 6*y = 168
____________ +
38x = 152
x= 4
We can substitute x value to the equation to solve y.
5х + y = 28
5(4) + y = 28
y= 28-20
y= 8
