Question

So solve the system of equations with elimination 5 x - 4 y equals -17 and -5x minus y equals 2

Answer 1

Answer: X=2 and 3 = -1

Step-by-step explanation:Here we will use elimination method to solve the given system of an equation.

We have,

3x+y=5................equation 1

x−2y=4..................equation 2

Note: here we have unequal coefficient for both x and y. So we will first make coefficient of either x or y equal.

Here we well make coefficient of y equal by multiplying equation 1 by 2, we get

6x+2y=10..........equation 3

Now, we have coefficient of y equal with opposite sign, hence it can be eliminated on addition.

Adding equation 2 and 3, we get

x−2y=4

6x+2y=10

−−−−−

7x=14

Now divide both side by 7, we get

or, x=147=2

Plug the value of x= 2 in equation 1, we get

3X2+y=5

or, 6+y=5

Subtract 6 on both side, we get

or, y=5−6