Linear Systems Substitution

Solve the system of equations using substitution:

-4x + 4y = 8

y = -2x - 10

• (-4, -2)

• (12, -34)

• (4, -18)

• (-2, -6)

Is the point (-3, -7) a solution to the system of equations below?

• YES

• NO

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

Which equation shows the correct first step to solve the system by substitution

• 2=4x-2

• 2x-8y=4x-2

• 2x-8(4x-2)=2

• 2(4x-2)-8y=2

Which equation shows the first step to solve the system by substitution

• 6(y+4)+5y=8

• 6x+5(y+4)=8

• 6x+5y=y+4

• 6y+5(y+4)=8

Which equation shows the correct first step to solve the system of equation by substitution

• 4x+6=y

• y=2(4x+6)+10

• y=4(2x+10)+6

• 4x+6=2x+10

Solve for x and y
y = 2x + 1
y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (0, 1)

What is the solution to the system

• This system has no solutions

• (1,2)

• (2,1)

• Infinitely many solutions

a method of solving a system of equations by taking a variable out and replacing it with an expression.

• Systems by Graphing

• Systems by Substitution

• Systems by Elimination

• Systems by Drawing