Solve the System of @WORD x=4 , x+y=7

$x = 4$ , $x + y = 7$

Step 1

Replace all occurrences of $x$ with $4$ in each equation.

Replace all occurrences of $x$ in $x + y = 7$ with $4$ .

$(4) + y = 7$

$x = 4$

Simplify the left side.

Remove parentheses.

$4 + y = 7$

$x = 4$

$4 + y = 7$

$x = 4$

$4 + y = 7$

$x = 4$

Step 2

Move all terms not containing $y$ to the right side of the equation.

Subtract $4$ from both sides of the equation.

$y = 7 - 4$

$x = 4$

Subtract $4$ from $7$ .

$y = 3$

$x = 4$

$y = 3$

$x = 4$

Step 3

Solve the system of equations $y = 3 x = 4$ .

$y = 3 x = 4$

Step 4

The solution to the system is the complete set of ordered pairs that are valid solutions.

$(4, 3)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(4, 3)$

Equation Form:

$x = 4, y = 3$

Step 6