Question

Y=x+3 y=2x+5 System of equations using Substitution

Answer 1

Answer: x = − 2 and y = 1

Explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

/| y-x-3 = 0| y-(2*x)-5 = 0

We try to solve the equation: y-x-3 = 0

y-x-3 = 0 // + -x-3

y = -(-x-3)

y = x+3

We insert the solution into one of the initial equations of our system of equations

We get a system of equations:

/| x-(2*x)-5+3 = 0| y = x+3

-x-2 = 0 // + 2

-x = 2 // * -1

x = -2

We insert the solution into one of the initial equations of our system of equations

For y = x+3:

y = 3-2

y = 1

We get a system of equations:

/| y = 1| x = -2

Answer 2

Answer: (-2,1)

Explanation:

y=x+3

y=2x+5 substitute the y value in the first equation into the second equation

x+3 = 2x+5 now solve for x

-3 -3

x = 2x +2 subtract 2x from both sides

-2x -2x

-1x = 2 Divide both sides by -1

x= -2

The value of x is -2 to plot it into one of the equations to solve for y.

y= -2 + 3

y = 1

(-2,1)