System of Equations
How many solutions does the System of Equations have? y=-5x-2, y=-5x-2
Infinitely many solutions, they have the same slope and same y-intercept
Solve the equation for x 3x+2=14
x=14
How many solutions does the System of Equations have? y=-9x+9, y=3/4x-7/4
One solution, the slopes are different
Solve the Equation for n -24+12n=2(n-3)+22
n=4
Solve using Substitution -3x-2y=-10, x=-2
y=8, (-2,8)
A line has a slope of -1 and a y-intercept of 6. Write in slope-intercept form
y=-1x+6
Solve using Substitution y=4x-10, y=x+5
x=5 and y=10, (5,10)
A line has a slope of 9 and a y-intercept of -1/4. Write in slope-intercept form
y=9x-1/4
Is (1,6) a solution to this System of Equations? 5x+y=11, 2x+3y=20
Yes, (1,6) is a solution to the system of equations
Solve the Equation for x 6.4x-10=4.4x+6
x=8
Is (-4,-5) a solution to the system of equations? y=-2x-13, y=-x+1
No, (-4,-5) is not a solution to the system of equations
Rewrite the equation in slope-intercept form 5x+2y=-4
y=-5/2x-2
How many solutions does the System of Equations have? y=9x+2, y=9x+2
Infinitely many solutions, they have the same slope and same y-intercept
Solve the Equation for x 3(x+2)-8x=x+9
x=-1/2
Solve using Substitution y=2x+3, y=x+2
x=-1 and y=1, (-1,1)
A line has a slope of 4 and a y-intercept of 0. Write in slope-intercept form
y=4x
Is (-2,-3) a solution to this System of Equations? y=2x+1, y=x-1
Yes, (-2,-3) is a solution to the system of equations
Rewrite the equation in slope-intercept form 17x-20y=8
y=17/20x-2/5
Solve using Substitution y=-7, -5x-10y=20
x=10, (10,-7)
Rewrite the equation in slope-intercept form 11x+12y=2
y=-11/12x+1/6