How do i use systems of equations to eliminate two problems that are: -9x+2y=-24 and -x+2y=8
1 answer:
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Answer:
Number of quarters → 15
Number of dimes → 2
Step-by-step explanation:
Let the number of dimes I have = y
And number of quarters = x
Since, I have amount in my pocket = $2
Therefore, 0.10y + 0.25x = 2
100(0.10y + 0.25x) = 100×2
25x + 10y = 200
5x + 2y = 40
2y = -5x + 40
y = -2.5x + 20 ---------(1)
Total number of coins in my pocket = 17
x + y = 17
y = -x + 17 ---------(2)
By using a graphing calculator we can graph these two lines (As attached)
Solution of the given system of equations will be the point of intersection of these lines.
Solution → (2, 15)
Number of quarters → 15
Number of dimes → 2
Question 1.).
Column A.):
Answer ==> z = 61 – 18, is Related to z + 18 = 61, ==> z = 43
Answer: ===> 18 = 61 - z, is Related to z + 18 = 61, ===> z = 43
z + 18 = 61
Let's solve your equation step-by-step.
z + 18 = 61
Step 1: Subtract 18 from both sides.
z + 18 − 18 = 61 − 18
z = 43
Graph: ========> z + 18 = 61 =========> z =======> 43
Column (A), Answer: =======> z = 43
Question 2.).
Column. B.):
Answer: =====> 61 + 18 = z, Related to z - 18 = 61 ====> z = 79 Answer: ===> –18 = 61 – z, Related to z - 18 = 61 ====> z = 79
z - 18 = 61
Let's solve your equation step-by-step.
z − 18 = 61
Step 1: Add 18 to both sides.
z − 18 + 18 = 61 + 18
z = 79
Answer z = 79
Therefore, The answers to your Equation: Column (A),/Column (B)
Question 1.).
Column A.):
Answer ==> z = 61 – 18, is Related to z + 18 = 61, ==> z = 43
Answer: ===> 18 = 61 - z, is Related to z + 18 = 61, ===> z = 43
Question 2.).
Column. B.):
Answer: =====> 61 + 18 = z, Related to z - 18 = 61 ====> z = 79 Answer: ===> –18 = 61 – z, Related to z - 18 = 61 ====> z = 79
Hope that helps!!!!!!!! : )
