Vineet solved a system of equations by substitution. In his work, he substituted an expression for one of the variables and solved for the value of the other. This resulted in the equation 7 = 9. What can Vineet conclude?
y = 5.5x✔ y = 10.5xy = 6.5x + 30y = 7.5x + 30
y = 5.5xy = 10.5xX y = 6.5x + 30✔ y = 7.5x + 30
The tables represent two linear functions. The equation represented by the first table is given below.
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105
(–6.3, –10.75)(–6.3, –0.75)✔ (–6, 0)(0, –6)
✔ y = –2.5x – 15X y = –2.5xy = 2.5x + 15y = 2.5x
2(8 – 3x) + 3x = 3✔ 2x + 3(8 – 3x) = 32x + 3y = 8 – 3x
–3–1✔ 3
✔ –113
Solve the system of equations by substitution.
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1
Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is worth either 5 points or 2 points. Write a system of equations that can be used to find how many problems of each point value are on the test.Let x be the number of questions worth 5 points and let y be the number of questions worth 2 points.
How many problems of each point value are on the test?
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