My teacher never explained how to solve for x, can someone help me?
1 answer:
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Answer:
(x, y) = (3, 26)
Step-by-step explanation:
I like to solve systems of equations like this by graphing. A graphing calculator easily shows the solution for both x and y.
(x, y) = (3, 26)
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As an alternative, here, the equations can be subtracted.
y = f(x)
y = g(x)
0 = f(x) - g(x) . . . . subtract the second equation from the first
0 = 11x -7 -(3x +17)
0 = 8x -24 . . . . simplify
0 = x -3 . . . . . . .divide by 8
3 = x
Now, we can substitute into either equation:
y = g(x) = 3(3) +17 = 26
The solution is (x, y) = (3, 26).
QUESTION 1
We want to simplify,
We regroup to obtain,
We simplify to obtain,
QUESTION 2
We want to solve
We group like terms to obtain,
Simplify
We divide both sides by 5 to get,
This gives us,
QUESTION 3
We want to simplify
We divide both sides by 2 to obtain,
We group like terms to obtain,
QUESTION 5
The inequality given to Bob was
He added the additive inverse of 5 to both sides to obtain,
He gets
He needs to divide both sides by -2 and reverse the inequality sign to obtain,
The error is that, he forgot to reverse the inequality sign.
We want to simplify,
We regroup to obtain,
We simplify to obtain,
QUESTION 2
We want to solve
We group like terms to obtain,
Simplify
We divide both sides by 5 to get,
This gives us,
QUESTION 3
We want to simplify
We divide both sides by 2 to obtain,
We group like terms to obtain,
QUESTION 5
The inequality given to Bob was
He added the additive inverse of 5 to both sides to obtain,
He gets
He needs to divide both sides by -2 and reverse the inequality sign to obtain,
The error is that, he forgot to reverse the inequality sign.