Algebra 1 System of Equations

Solve the system given:
-x + y = -4
y = 2x - 11

• (3,7)

• (7,3)

• (4,-3)

• (-3,4)

What is the proper set up to solve the equation?

• -7(11) -2y = -13

• -7(2y +11)-2y = -13

• -7x -2(11) =-13

• -7x - 2(2y+11)= -13

If a system of equations has no solution, what does the graph look like? 

• intersecting lines

• parallel lines

• same lines

What is the solution?

• No solution

• (0, 2)

• (0, -4)

• (3, -3)

Will the solution (-3, -7) make the following system of equations a true statement? 
y = 4x + 5
y = x – 4

• YES

• NO

A system of equations with one solution will have lines that...

• are the same

• cross in one place

• are parallel and never touch

what is the first step in the substitution method?

• Step 2

• isolate one of the variables in one of the equations

• substitute in the value of the isolated variable into the other equation

Is (1,10) a solution to

y=7x+5

y=x+9

• yes

• no

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

• Write both linear equations in slope-intercept form

• Get x by itself

• Compare the slopes of both equations

• Write both equations in standard form

What is the proper way to set up the equation to begin solving?

y = 6x − 11

−2x − 3y = −7

• -2(-11) -3y= -7

• -2(6x-11) -3y = -7

• -2x -3(11) = -7

• -2x - 3(6x-11)= -7