Solve the system by the substitution method 8x-3y=-22 and y=5x+19

Mathematics

1 answer:

Travka [436]3 years ago

6 0

The answer is: $x=-5\\y=-6$

The explanation is shown below:

1. In substitution method you can solve one of the equation for one of the variables, then you must substitute it into the other equation and solve it to calculate the other variable. Once you do this, you must substitute the value obtained into one of the original equations to calculate the second variable.

2. Keeping this on mind, you can see that the second equation is already solved for $y$ . Therefore, you can substitute this into the first one and solve for $x$ :

$8x-3y=-22\\8x-3(5x+19)=-22\\8x-15x-57=-22\\-7x=35\\x=-5$

3. Let's substitute the value obtained into the second equation to calculate $y$ :

$y=5x+19\\y=5(-5)+19\\y=-6$

4. The result is:

$x=-5\\y=-6$

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Alecsey [184]

Hello there!

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A pet store has 150 goldfish and betta fish altogether. The ratio of goldfish to betta fish is 2:3. How many goldfish does the p

Kipish [7]

The number of goldfish in the pet store is equal to 60 fishes.

Let the goldfish be G.

Let the betta fish be B.

<u>Given the following data:</u>

Total number of fishes = 150 fishes.

Ratio of G to B = 2:3

Total ratio= 2 + 3 = 5

To calculate the number of goldfish that the pet store have:

<h3>What is ratio?</h3>

Ratio can be defined as an expression that is used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.

Mathematically, the number of goldfish in the pet store is given by this expression:

$G = \frac{2}{5} \times 150\\\\G=0.4 \times 150$