The following graph displays a system of two equations.
Two parallel lines are plotted in a number plane. The line on the left intersects the x-axis at point (-3,0), and the y-axis at point (0, 3). The line on the right intersects the x-axis at point (1, 0), and the y-axis at point (0,-1)
How many solutions does this system of equations have?
No solutions
One solution
Infinitely many solutions
Consider the following linear equations:
$y=5x-7$y=5x−7 and $y=-x+5$y=−x+5
We want to solve the following system of equations using the substitution method.
Equation 1 | $y=5x+34$y=5x+34 |
Equation 2 | $y=3x+18$y=3x+18 |
We want to solve the following system of equations using the substitution method.