Question

4x-4y=20
3x-2y=5
i want it to be solve in substitution method​

Answer 1

x = -5; y = -10

Explanation:

We can use the following steps to solve the system of equations by the substitution method:

Step 1: Isolate y in the second equation:

(3x - 2y = 5) - 3x

(-2y = -3x + 5) / -2

y = 3/2x - 5/2

Step 2: Substitute 3/2x - 5/2 for y in the first equation (i.e., 4x - 4y = 20) to solve for x:

4x - 4(3/2x - 5/2) = 20

4x - 6x + 10 = 20

(-2x + 10 = 20) - 10

(-2x = 10) / -2

x = -5

Thus, x = -5.

Step 3: Plug in -5 for x in the second equation (i.e., 3x - 2y = 5) to solve for y:

3(-5) - 2y = 5

(-15 - 2y = 5) + 15

(-2y = 20) / -2

y = -10

Thus, y = -10.

Answer 2

(-5, - 10)

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Simplify the first equation by dividing all terms by 4:

• 4x - 4y = 20
• x - y = 5
• x = y + 5

Now substitute the value of x into the second equation:

• 3x - 2y = 5
• 3(y + 5) - 2y = 5
• 3y + 15 - 2y = 5
• y + 15 = 5
• y = - 10

Find the value of x:

• x = - 10 + 5
• x = - 5