Simultaneous Equations by Substitution

Front

Solve the system of equations using substitution:
-4x + 4y = 8
y = -2x - 10

Back

(-4, -2)

Front

Solve the simultaneous equations by substitution: x+y=5, x-y=1

Back

x=3, y=2

Front

Solve the system by substitution:
y = x + 5
4x + y = 20

Back

(3,8)

Front

Solve the simultaneous equations: 7x + 7y = -28 and -4 - 0.875x = 1y. Provide the solution as a coordinate pair.

Back

(0, -4)

Front

Solve the simultaneous equations: 2x + 10y = 60 and -45 + 30y = 21x. Give your answer as a coordinate pair.

Back

(5, 5)

Front

What is the first step in solving a system by Substitution?

Back

Make sure at least one equation is solved for one variable.

Front

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of colour brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of colour brochures. Which system represents this situation?

Back

4x+3y=134
3x+3y=120

Front

A fruit seller sells apples at $2 each and oranges at $4 each. On Monday, he sold a total of 57 fruits and earned a revenue of $158. Find out the total number of apples sold on Monday.

Back

35

Front

Back

(4, 3)

Front

Back

(1, 2)