{(y=7x+6),(4x-3y=16):}

(−2, −8)

Step-by-step explanation:

Write the problem as a mathematical expression.

y = 7x + 6

4x − 3y = 16

Replace all occurrences of y in 4x − 3y = 16 with 7x + 6. 4x − 3 (7x + 6) = 16

y = 7x + 6

Simplify 4x − 3 (7x + 6).

−17x − 18 = 16

y = 7x + 6

Solve for x in the first equation.

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

−17x = 34

y = 7x + 6

 Divide each term by −17 and simplify.

x = −2

y = 7x + 6

Replace all occurrences of x with −2 in each equation.

Replace all occurrences of x in y = 7x + 6 with −2. y = 7 (−2) + 6

x = −2

Simplify 7 (−2) + 6.

y = −8

x = −2

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

(−2, −8)

The result can be shown in multiple forms.

Point Form:

(−2, −8)

Equation Form:

x = −2, y = −8

ye

step-by-step explanation: