x = 6, you can substitute/plug in 6 for x in the expression since x equals 6
4x + 6 Plug in 6 for x
4(6) + 6
24 + 6
30
Answer:
(-17/13, 10/13)
Step-by-step explanation:
Next time, please include more info regarding what you're supposed to do. I will assume that the instructions said "solve this system of linear equations using elimination by addition and subtraction."
Multiply all three terms of the second equation by -5. Then the system looks like:
5x + 2y = -5
-5X + -15y = -5
Next, combine these two equations:
5x + 2y = -5
-5X + -15y = -5
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-13y = -10
Dividing both sides by -13 yields y = 10/13.
Substituing 10/13 for y in the second equation, we get:
x + 3(10/13) = 1
Multiplying all three terms by 13 eliminates fractions:
13x + 30 = 13, or 13x = -17. Then x = -17/13, and the solution is
(-17/13, 10/13)
Let her score on her math test be y and the number of hours a week that she plays video games be x,
y = k/x
73.6 = k/10
k = 736
y = 736/x
y = 736/8
y = 92
She can expect a score of 92 on her math test if she plays video games for only 8 hours a week.
Technically you should use "substitution" in place of "transitive property of equality", though they are very closely related ideas. If I were your teacher, then I would accept that answer as valid nonetheless.
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Substitution says that if a = b and c = b, then a = c. We replace the 'b' in a = b with 'c'. Think of your substitute teacher who replaces your current teacher for a temporary basis. This is how to remember the term "substitution.
On the other hand, the transitive property of equality says that if a = b and b = c, then a = c. The equations chain together and can simplify into one single equation.
The answer is............ 9x+6