Solve each pair of equations by substituting

2x + y = 3
4x + 3y = 1

the value of x and y is 4 and -5 respectively.

Step-by-step explanation:

from the equation we say let;

2x + y = 3 equation  1

4x + 3y = 1 equation 2

from equation 1

2x + y = 3 equation  1

y = 3 - 2x equation 3

Substitute for y in equation 2

4x + 3y = 1 equation 2

we have,

4x + 3(3- 2x) = 1

4x + 9 -6x = 1

we have to collect the like terms

9-1 = 6x -4x

8 = 2x

divide both sides by 2

8/2 = 2x/2

4 = x

therefore x = 4

put x = 4 in equation 3

y = 3 - 2x equation 3

y = 3 - 2(4)

y = 3 -8

y = -5

therefore the value of x and y is 4 and -5 respectively.

to check if your answer is correct, put the value of x and y in any of the equations.

2x + y = 3 equation  1

2(4) + (-5) = 3

8 -5 = 3

3 = 3 proved