3 years ago

Solve each of the following pairs of simultaneous equations by using substitution X+5y=8

1 answer:

8 0

<span>x+5y=8 ----------------- (1)

</span>y=3x ----------------- (2)

Substitute (2) into (1):

x + 5(3x) = 8

Distribute 5:
x + 15x = 8

Combine like terms:
16x = 8

Divide both sides by 16:
x = 0.5

Substitute x = 0.5 into (2):

y = 3(0.5)

Distribute 3
y = 1.5

Answer: x = 0.5, y = 1.5

You might be interested in

Perform the following operation

Cerrena [4.2K]

Answer:

When you multiply an odd number of negatives you get a negative result. When you multiply an even number of negatives you get a positive result.

First, multiply normally.

25x10x5

1100

Then determine whether the sign is positive or negative. Since there is an odd number of negatives, the sign is negative.

So, the answer is -1100.

7 0

3 years ago

if 1/4 of a gallon of paint is needed to paint 2/3 of a fence, how many gallons are needed to paint the entire fence? site:socra

trasher [3.6K]

$\bf \begin{array}{ccll} \stackrel{paint}{gallons}&fence\\ \cline{1-2} \\\frac{1}{4}&\frac{2}{3}\\\\ x&1 \end{array}\implies \cfrac{~~\frac{1}{4}~~}{x}=\cfrac{~~\frac{2}{3}~~}{1}\implies \cfrac{~~\frac{1}{4}~~}{\frac{x}{1}}=\cfrac{2}{3}\implies \cfrac{1}{4}\cdot \cfrac{1}{x}=\cfrac{2}{3} \\\\\\ \cfrac{1}{4x}=\cfrac{2}{3}\implies 3=8x\implies \cfrac{3}{8}=x$