What is the value x in the solution to this system equations 3x-5y=22 Y=-5x+32

Mathematics

1 answer:

cestrela7 [59]3 years ago

6 0

Answer:

Step-by-step explanation:

3x - 5(-5x + 32) = 22

3x + 25x - 160 = 22

28x = 22 + 160

28x = 182

x = 6.5

You might be interested in

Given logbM=3.2 logbN=-1.5 and logbP=2.4 find the value of logb(m^2N/p)

artcher [175]

The formulas:
$\log_a (xy)=\log_a x + \log_a y \\
\log_a (\frac{x}{y})=\log_a x - \log_a y \\
\log_a (x^n)n \log_a x$

Expand the expression:
$\log_b (\frac{m^2n}{p})=\log_b m^2 + \log_b n - \log_b p= 2 \log_b m+\log_b n - \log_b p$

Plug the values into the expression:
$\log_b m=3.2 \\ \log_b n=-1.5 \\ \log_b p=2.4 \\ \\
2 \log_b m+\log_b n - \log_b p=2 \times 3.2-1.5-2.4=6.4-3.9=2.5 \\ \\
\boxed{\log_b (\frac{m^2n}{p})=2.5}$

3 0

3 years ago

Round 10,982 to the nearest hundred

zvonat [6]

Answer:

4568

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

After a heavy rainstorm, Barbara's dog left muddy paw prints all over her back patio. She decided to rent an electric

Ne4ueva [31]