Question

Solve using substitution.

y = -5 .........(i)
5x - 6y = 40 ..........(i)

Answer 1

Explanation:

y =-5

5x-6y=40

5x-6(-5)=40

5x+30=40

5x=40-30

x=10/5

x=2

Answer 2

The value of x is 2 and y is -5

Explanation:

Here, y = - 5 and 5x - 6y = 40 are two given equations.

Substitution Method:

y = - 5 ...(1)

5x - 6y = 40 ...(2)

Now, put the value of y = - 5 in equation (2) we get,

5x - 6y = 40

5x - 6(-5) = 40

5x - (-30) = 40

5x + 30 = 40

Now, Subtract 30 from both side

5x + 30 - 30 = 40 - 30

5x = 10

Now, Divide by 5 from both side

5x ÷ 5 = 10 ÷ 5

x = 2

Thus, The value of x is 2 and y is -5

FOR VERIFICATION ONLY:

5x - 6y = 40

5(2) - 6(-5) = 40

10 - (-30) = 40

10 + 30 = 40

40 = 40

Hence, L.H.S = R.H.S

-TheUnknownScientist