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professor190 [17]
3 years ago
14

In the following equation, a and b are both integers. a(3x-8)=b -18x

Mathematics
2 answers:
zaharov [31]3 years ago
8 0
The value of a is -6
The value of b is 48
I am Lyosha [343]3 years ago
6 0

If a and b are two fixed integers this means the equations is a straight line where x values could be any number within (-∞,∞). So we can evaluate any two numbers to obtain a set of two different equations to solve the system for a and b. The number we will try are 0 and 1:

For 0 (Equation #1)

a(3(0)-8)=b-18(0)\\a(-8)=b\\b=-8a

For 1 (Equation #2)

a(3(1)-8)=b-18(1)\\a(-5)=b-18\\-5a+18=b\\b=18-5a

We can solve the system by replacing equation #1 in equation #2 like this:

-8a=18-5a\\-8a+5a=18\\-3a=18\\a=\frac{18}{-3} \\a=-6

Now we can replace the value of a in equation #1

b=-8(-6)\\b=48

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7 0
3 years ago
The 1st term in a geometric series is 5 and the common ratio is 2. Find the sum of the 1st 10 terms in the series.
lesya [120]

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3 0
3 years ago
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kozerog [31]

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Step-by-step explanation:

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Brainliest please

8 0
3 years ago
Read 2 more answers
-5x+2y=6<br> -x+2y=-2 <br> what is the solution to the system of equations?
dybincka [34]

Step-by-step explanation:

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7 0
3 years ago
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