Good morning I'm stuck with the following problems!
Clear of fractions by multiplying every term by 5.
Use to multiply by the first and use
just to multiply the other two terms by
4x - 15 = 10
Add 15 to both sides
4x = 25
Divide both sides by 4
7a + 8b = 5c solve for a
Isolate all terms with a on the left side.
Do this by subtracting 5b from both sides:
7a = 5c - 8b
Draw a line under both sides and divide
by 7
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Cancel the 7's on the left:
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Leave the answer just like that.
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find the x intercept: 7x + 5y = 3
To find the intercept for either letter
x or y, substitute 0 for the OTHER
letter and solve.
So we substitute 0 for the OTHER letter
y and solve for x.
7x + 5y = 3
7(0) + 5y = 3
0 + 5y = 3
5y = 3
Divide both sides by 5
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solve: 3(2 - x) > x + 2
6 - 3x > x + 2
Get rid of the x on the right by
subtracting x from both sides:
6 - 4x > 2
Get rid of the 6 on the left by
subtracting 6 from both sides
-4x > -4
Divide both sides by -4 remembering
the rules:
1. When you divide (or multiply)
both sides of an inequality
by a NEGATIVE number, you MUST
reverse the sign of inequality.
2. When you divide (or multiply)
both sides of an inequality
by a POSITIVE number, you DO NOT
reverse the sign of inequality.
This is the first case, so we
reverse the sign of inequality:
x < 1
To write the solution is interval notation
we write:
(-¥, 1)
Edwin