Mathematics, 03.12.2020 06:10 chloegrider6713
3. Given a system of two equations in two variables, replacing one equation by the sum of that
equation and a multiple of the other produces a system with the same solution. Show why this is
true by solving the system of equations given. Justify the reason for each step. HINT: Use addition
property of equality and multiplication property of equality in your answers. (8 points: 1 point for
each question)
5x + 2y = 7
3x - y = 2
a.
To solve the system using elimination, first multiply the bottom equation by 2. Write
the new system of equations. (1 point)
b. Why is this multiplication allowed? (1 point)
C. What variable will be eliminated when the equations are combined after the
multiplication? (1 point)
D. Next, add the equations together. Your answer should be a single equation with one variable.
E. Why can you add the equations?
F. Solve the equation for x
G. Substitute x back into one of the equations to solve for y
H. What is the solution to the system of equations.
Answers: 2
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The measures of the legs of a right triangle are 15m and 20m . what is the length of the hypotenuse
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Solve the problem by making up an equation. a man could arrive on time for an appointment if he drove the car at 40 mph; however, since he left the house 15 minutes late, he drove the car at 50 mph and arrive 3 minutes early for the appointment. how far from his house was his appointment?
Answers: 1
Mathematics, 21.06.2019 23:00
Aremote-controlled boat can travel at 4 feet per second in calm water. the boat traveled 48 feet with the current, and then it traveled 16 feet against the current in the same amount of time. how fast is the current?
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3. Given a system of two equations in two variables, replacing one equation by the sum of that
equa...
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