Chapter 3: Systems of Equations and Inequalities

Write each equation in standard form. Identify A, B, and C.

$\frac{2}{3}y-6=1-x$

$0.7x+0.4=0.6x+2.4$

Solve each equation. Check your solution.

$66.\left|6a-4\right|=-2$

Use the formula $I=\frac{E}{R+r}$ to find the amount of current I (in amperes) produced if the electromotive force E is $1.5$ volts, the circuit resistance R is $2.35$ ohms, and the resistance r within a battery is $0.15$ ohms.

$0.9x-1.25=0.75x+1.75$

Solve each equation. Check your solution.

$\text{3}\left|2t-1\right|=15$

Determine whether the given point satisfies each inequality.

$3x+2y\le 10; \left(2,-1\right)$

$1.2x-0.91=0.8x+2.29$

Determine whether the given point satisfies each inequality.

$4x-2y>6; \left(3,3\right)$

Solve each equation. Check your solution.

$68.\left|4r+3\right|-7=10$