Answer:
(−2, −8)
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