Answer:
Let x represent the smaller number and y represent the larger number
<u>For the first equation </u>
Four times a number added to 3 times a larger number is 31 is written as
4x + 3y = 31
Making y the subject we have
3y = - 4x + 31
Divide both sides by 3
That's

<u>For the second equation</u>
Seven subtracted from the larger number is equal to twice the smaller number is written as
y - 7 = 2x
Making y the subject
We have
<h3>y = 2x + 7</h3>
Hope this helps you
4x² + 2x - 30 = 0
<span>
factor out the GCF:
</span>2(2x² + x - 15) = 0
<span>
factor the trinomial completely:
2x</span>² + x - 15 = 0
2x² + 6x - 5x - 15 = 0
2x(x + 3) - 5(x + 3) = 0
(2x - 5)(x + 3) = 0
<span>use the zero product property and set each factor equal to zero and solve:
2x - 5 = 0 or x + 3 = 0
2x = 5 x = -3
x = 2.5
</span><span>The roots of the function are x=-3, x=2.5</span>
<h2>x = 1/4</h2><h2>y = -2</h2><h2>______________</h2>
<h2>Known : </h2>
y = -8x
4x - y = 3
<h2>Asked: </h2>
Use the substitution method to solve the system of equations ?
<h2>Answered:</h2>
<h3>Substitution y</h3>
4x - y = 3
4x - (-8x) = 3
4x + 8x = 3
12x = 3
x = 3/12
x = 1/4
<h3>
Substitution x</h3>
4x - y = 3
4(1/4) - y = 3
4/4 - y = 3
1 - y = 3
-y = 3 - 1
-y = 2
y = -2
Answer:
the next two terms are 17, 20
Step-by-step explanation:
add 3 to each term
Example
5+3 = 8
8+3= 11
11+3= 14 etc.
Answer:
Add 2y and y.
Step-by-step explanation:
you have to combine what is common
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