substitution method what is the cordinate for x+y=5 and 3x-2y=10

Question

i need to now the both the numbers for x and y. x=? y=?

Answer 1

Substitution method :

The system of equations are x + y = 5 and 3x - 2y = 10.

Solve the equation 1: x + y = 5 for y, since the y has a coefficient of 1.

x + y = 5

Subtract x from each side.

y = 5 - x.

Substitute the value of y = 5 - x in the equation 2: 3x - 2y = 10 and solve for x.

3x - 2(5 - x) = 10

Apply distributive property: a(b - c ) = ab - ac.

3x - 10 + 2x = 10

5x - 10 = 10

Add 10 to each side.

5x = 10 + 10 = 20

Divide each side by 5.

x = 20/5

x = 4.

Substitute the value of x = 4 in the equation y = 5 - x to find the value of y.

y = 5 - 4

y = 1.

The solution is x = 4 and y = 1.

Answer 2

Substitution method :

The equations are

x + y = 5      ---> (1)

3x - 2y = 10 ---> (2)

Solve for x from (1).

x + y = 5

x = 5 - y.

Substitute the x value in eq ( 2 )

3 ( 5 - y )  - 2 y = 10

15 - 3y  - 2 y =10

15 -  5 y  =  10

15 - 10 = 5 y

5 = 5 y

1 = y

=>y = 1.

Substitute the y  value in (1).

x + 1 = 5

x = 5 - 1  = 4

=>x = 4

Solution :  x =4 and y = 1.