3 years ago

Simplify and solve this equation for q: 3q + 5 + 2q – 5 = 65.

Mathematics

1 answer:

gladu [14]3 years ago

3 0

3q+5+2q-5 = 65

5q = 65

q = 13

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3 years ago

Read 2 more answers

Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.Josiah has punch c

love history [14]

Let x be the number of weeks; therefore, the two linear equations are

$\begin{gathered} T=2+7x \\ \text{and} \\ C=11+4x \end{gathered}$

Where T stands for the punches on the tea punch card and C for the punches on the coffee punch card.

Solving by substitution. Set T=C, then

$\begin{gathered} T=C \\ \Rightarrow2+7x=11+4x \\ \Rightarrow3x=9 \\ \Rightarrow x=\frac{9}{3}=3 \\ \Rightarrow x=3 \end{gathered}$

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Thus, after 3 weeks, Josiah will have the same number of punches on each card, and he will have 23 punches on each card.

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1 year ago