Question

X=4-2y 3x-2y=4 Substitution

Answer 1

Answer:

The solution is x = 2 and y = 1.

Step-by-step explanation:

The given equations are x = 4 - 2y.......(1) and 3x - 2y = 4......(2).

Putting the value of the first equation in the second, we get

3x - 2y = 4

or, 3(4 - 2y) - 2y = 4

or, 12 - 6y - 2y = 4

or, 8y = 8

or, y = 1.

Putting the value of y in the first equation, we get x = 4 - 2 = 2.

Answer 2

Answer:

The answer is $x=2$ and $y=1.$

Step-by-step explanation:

Given:

X=4-2y

3x-2y=4

Now, to solve it by substitution.

$x=4-2y$  .....(1)

$3x-2y=4$  ......(2)

Now, solving the equation (2) by substitution:

$3x-2y=4$

Substituting the value of $x$ from equation (1):

$3(4-2y)-2y=4$

$12-6y-2y=4$

$12-8y=4$

Subtracting both sides by 12 we get:

$-8y=-8$

Dividing both sides by -8 we get:

$y=1.$

Now, substituting the value of $y$ in equation (1):

$x=4-2y$

$x=4-2(1)$

$x=4-2\times1$

$x=4-2$

$x=2.$

Therefore, the answer is $x=2$ and $y=1.$