Solving Linear Equations: Variables on Both Sides Answers

Which number can each term of the equation be multiplied by to eliminate the fractions before solving?6 – x + = x + 5

Two runners are saving money to attend a marathon. The first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. The second runner has $50 in savings and will save $60 each month.

Solve the equation.–3x + 1 + 10x = x + 4

The levels of mercury in two different bodies of water are rising. In one body of water the initial measure of mercury is 0.05 parts per billion (ppb) and is rising at a rate of 0.1 ppb each year. In the second body of water the initial measure is 0.12 ppb and the rate of increase is 0.06 ppb each year.

Which number can each term of the equation be multiplied by to eliminate the decimals before solving?–m + 0.02 + 2.1m = –1.45 – 4.81m

Solve the equation.–3x + 1 + 10x = x + 4

What is the solution to the linear equation?2.8y + 6 + 0.2y = 5y – 14

Which number can each term of the equation be multiplied by to eliminate the fractions before solving?6 – x + = x + 5

What is the justification for the step taken from line 2 to line 3?

The International Business Club starts the school year with $250.50 in their account. They spend $35 each month on activities. The Future Agricultural Leaders Club starts with $300 and spends $45.25 each month.