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mihalych1998 [28]
3 years ago
8

Solve using substitution

Mathematics
1 answer:
Vlad1618 [11]3 years ago
7 0
The first step is to isolate one of the variables from one of the equations. We can pick either variable and either equation. The easiest to pick on is the 'x' from the first equation as the coefficient here is 1.

Isolate x in the first equation. Subtract 3y from both sides
x+3y = 8
x+3y-3y = 8-3y
x = 8-3y
So we can see that x is the same as 8-3y

Now move onto the second equation
3x - 5y = -18
3( x ) - 5y = -18 ... rewrite x so it has parenthesis around it
3( 8-3y) - 5y = -18 ... replace x with 8-3y; solve for y
24-9y - 5y = -18
24-14y = -18
24-14y-24 = -18-24
-14y = -42
-14y/(-14) = -42/(-14)
y = 3

If y = 3, then x is...
x = 8-3y
x = 8-3*3
x = 8-9
x = -1

The x and y values are x = -1 and y = 3
Together they pair up to form the ordered pair (x,y) = (-1,3)

The solution is (-1,3)
If you graph the two original lines, then they cross at (-1,3)
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Step-by-step explanation:

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A box of crackers is 16 cm long, 6 cm wide, and 23 cm tall. <br><br> What is the volume of this box?
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Given: 16cm long, 6cm wide, 23 cm tall
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Coras kitten weighs 1,200 grams. If he weighed 550 grams at the last visit to the veterans office, what percent is the increase
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First, find the different of the two weights
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d = 650

The different of the weights is 650

Second, to find the percentage, we should compare the difference to the former weight. So we compare 650 to 1,200, then multiply it to 100%
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The percent of increase is 51%
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help ASAP !!!!!!! A recipe calls for 2 cups of flour to make 24 cookies. What is the constant of proportionality that relates th
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Let ax-by=c, where a,b,c&gt;0. Rewrite the equation in slope-intercept form
Elis [28]

Here we are required to rewrite the equation ax-by=c, where a,b,c>0 In the slope-intercept form.

The slope-intercept form of ax-by=c is ;

y = (a/b)x - (c/b).

There a no. of ways to write the equation of a line; however, the most popular of these ways is the slope-intercept form.

  • The slope-intercept form usually takes the form ; y = mx + c.

Therefore, the equation ax-by=c can be rewritten thus;

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Consequently, the slope-intercept form of ax-by=c is ;

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Read more:

brainly.com/question/12184348

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