Question

3x + 2y =7 / 4x - y = 2 prove by substitution please help I'm in exam please answer correct​

Answer 1

Answer:

3x+2y=7

4x+y=6⇒y=6−4x

placing in equation (1)

3x+2(6−4x)=7

3x+12−8x=7⇒−5x+12=7

−5x=7−12⇒−5x=−5

x=1

∴ y = 6 - 4×1=2

∴ x = 1, y = 2

you should solve the problem in this manner....so apply the correct values

Answer 2

The value of x is 1 and y is 2.

GIVEN

Algebraic equation-

3x + 2y = 7

4x - y = 2

TO FIND

The values of x and y using substitution method.

SOLUTION

We can simply solve the above problem as follows;

One of the methods of solving algebraic equation is by solving the value of one variable in terms of one variable and substituting its value in another variable.

3x + 2y = 7 (Equation 1)

4x - y = 2 (Equation 2)

Solving equation 2

4x - y = 2

- y = 2-4x

y = -2+4x (Equation 3)

Substituting the value of y from equation 3 and putting in equation 1

3x + 2(-2+4x) = 7

3x -4 + 8x = 7

Adding the like terms

11x - 4 = 7

11x = 7+4 = 11

x = 1 (Equation 4)

Substituting the value of x from equation 4 in equation 3

y = -2 + 4 (1)

y = 2

Hence, The value of x is 1 and y is 2.

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