Find the value of x.
2 answers:
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Answer:
The solution to the system of equations becomes:
(x, y) = (7, 12)
Step-by-step explanation:
Given the system of equations
Solving using the Elimination Method
Multiply 5x - 3y = - 1 by 2: 10x - 6y = -2
Multiply 2x - y = 2 by 5: 10x - 5y = 10
subtraction operation
so the system of equations becomes
Therefore, the value of y = 12
For 10x - 6y = -2 plug in y = 12
10x - 6y = -2
10x - 6(12) = -2
10x - 72 = -2
10x = -2+72
10x = 70
dividing both sides by 10
10x/10 = 70/10
x = 7
Therefore, the value of x = 7
Thus, the solution to the system of equations becomes:
(x, y) = (7, 12)
Answer:
slope = -2
Step-by-step explanation:
To find the slope, you can use the slope formula, .
and
represent the x and y values of one point the line passes through, and
and
represent the x and y values of another point the line also passes through.
So, in order to answer the question, we need two points from the line. To find these points, look at the x and y values of the table - they form points. Thus, (-2, 0) and (-1,-2) would be two points the line passes through. Use those x and y values and substitute them into the formula. Then, solve:
Thus, the slope is -2.