The best method for solving # 1 is substitution
x - 0.9y = 4.5......x = 0.9y + 4.5
now sub 0.9y + 4.5 in for x in the other equation
1.5(0.9y + 4.5) - 1.9y = -29 ----distribute through the parenthesis
1.35y + 6.75 - 1.9y = -29
1.35y - 1.9y = -29 - 6.75
-0.55y = -35.75
y = -35.75 / -0.55
y = 65
x - 0.9y = 4.5
x - 0.9(65) = 4.5
x - 58.5 = 4.5
x = 4.5 + 58.5
x = 63
solution is (63,65)
The best method for solving # 4 is by elimination
14x + 7y = 217
14x + 3y = 189...multiply by -1
-----------------
14x + 7y = 217
-14x - 3y = -189 (result of multiplying by -1)
----------------add
4y = 28
y = 28/4
y = 7
14x + 7y = 217
14x + 7(7) = 217
14x + 49 = 217
14x = 217 - 49
14x = 168
x = 168/14
x = 12
solution is (12,7)
Answer: The LCM for 8 and 4 is 8. step 4 Add both numerator and rewrite it in a single form. By using LCM method, 7/8 is the equivalent fraction by adding 5/8 and 1/4.
Step-by-step explanation:
Answer:
k = 10
Explanation:
The initial polynomial is:
If f(-2) = 0, then when we replace x by -2, the result will be 0. It means that we can write the following equation:
Therefore, we can solve for k as follows:
So, the value of k is 10
if the CD matures on her 14th birthday, that means 8 years after she got it, since she got it in her 6th birthday, so
Answer:
x = 3, x = 0
Step-by-step explanation:
To solve these factored equations, just divide each part by zero and solve.
2x(x-3) = 0 → (x-3) = 0, and 2x = 0.
(x-3) = 0 → x - 3 + 3 = 0 + 3 → <u>x = 3.</u>
2x = 0 → 2x/2 = 0/2 → <u>x = 0.</u>