Solve the system of equation using Substitution Method:
The equations are
Equation (1)
Equation (2)
Solve the equation (1) for y.
Apply subtraction property of equality: if a = b, then .
(Subtract 4x from each side)
Apply commutative property of addition: .
(Apply Additive inverse property: )
(Multiply each side by negative one)
(Product of two same signs is positive)
Substitute in Equation (2).
Distribute terms using distributive property: .
(Simplify)
(Add: )
Apply subtraction property of equality: if a = b, then .
(Subtract 40 from each side)
(Apply Additive inverse property: )
(Subtract: )
Apply division property of equality: if a = b, then.
(Divide each side by 9)
(Cancel common terms)
(Divide: )
Substitute in equation .
Apply addition property of equality: if a = b, then .
(Add 1 to each side)
(Add: 13 + 3 = 16)
(Apply additive inverse property: )
Apply division property of equality: if a = b, then.
(Divide each side by 2)
(Cancel common terms)
(Divide: )
The solution is.
"I want to tell you that our students did well on the math exam and showed a marked improvement that, in my estimation, reflected the professional development the faculty received from you. THANK YOU!!!" June Barnett |
"Your site is amazing! It helped me get through Algebra." Charles |
"My daughter uses it to supplement her Algebra 1 school work. She finds it very helpful." Dan Pease |