Question

Solve the system of equations.
5x−4y=−10
y=2x−5
​

Answer 1

X=10

Explanation:

5x-4y=-10.....1

y=2x-5......2

sub 2 into 1

5x-4(2x-5)=-10

5x-8x+20=-10

5x-8x=-10-20

-3x=-30

x=10

sub x=10 into 2

y=2(10)-5

y=20-5

y=15

Answer 2

x = 10

y = 15

Explanation:

5x − 4y = −10 ⇒ ( 1 )

y = 2x − 5 ⇒ ( 2 )

Let us find the value of x.

For that, we can replace y with ( 2x - 5 ).

Let us take equation 1.

5x − 4y = −10

5x - 4 ( 2x − 5 ) = -10

5x - 8x + 20 = -10

-3x = -20 - 10

-3x = - 30

Divide both sides by ( -3 ).

x = 10

And now let us find the value of y.

Let us take equation 2.

y = 2x − 5

y = 2 × 10 - 5

y = 20 - 5

y = 15