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Solving Equations
How many Solutions?
x- and y-intercepts
Forms of Linear Equations
Literal Equations
100

2(x + 5) = 24

7

100

6x+3-6x=3

Infinite Solutions

100

2x + 4y = 16

x-intercept (8,0)

y-intercept (0,4)

100

Convert to Standard Form

y = -x - 4

x+y=-4

100

Solve for r

C=2πr

r=C/(2π)

200

-4(a - 3) = 20

-2

200

5(n - 2) = 2(n + 4)

One Solution 

n=6

200

5x - 3y = 15

x-intercept (3,0)

y-intercept (0,-5)

200

Convert to slope-intercept form

x - y = -12

y=x+12

200

Solve for x

y=1/3x

x=3y

300

7p - 3(p + 1) = 17

5

300

-(-4x+7)=-2+4x

No Solution

300

x + 6y = 12

x-intercept (12,0)

y-intercept (0,2)

300

7x - 3y = -21

y=7/3x+7

300

Solve for t

V=d/t

t=d/V

400

4(2x - 1) = 3(x + 6)

22/5

400

4(8n-1)=19+32n

No Solution

400

8x - 2y = 24

x-intercept (3,0)

y-intercept (0,-12)

400

Convert to Standard Form

y = 3/2x + 7 

3x-2y=-14

400

Solve for b

A=1/2bh

b=(2A)/h

500

1/2(4c + 10) = 11

3

500

8(k-6)+58=2(4k+5)

Infinite Solutions

500

4x - y = 8

x-intercept (2,0)

y-intercept (0,-8)

500

Convert to Slope-Intercept Form

4x - 5y = 5

y=4/5x-1

500

Solve for h

V=πr^2h/ 3


h=(3V)/(πr^2)