Question

malique solved the system of equations below andfound that x=5. which ordered pair is the solution to the system?

A.(5,4)
B.(5,5)
C.(5,3)
D.(5,2)

Answer 1

Answer:

the answer is C because the slope of the line is what you need to look for with these kinds of problems. it could be any point on the line, but answer C is the only one of its kind.

Step-by-step explanation:

Answer 2

The ordered pair is the solution to the system is (5,3).

What are the ordered pair?

A pair of numbers that are written in a particular order, enclosed in brackets are known as ordered pairs.

Malique solved the system of equations below;

$\rm 2x+4y=22\\\\6x+2y=36$

Reduce the greatest common factor on both sides of the equation

$\rm x+2y=11\\\\3x+y=18$

From equation 1

$\rm x+2y=11\\\\x=11-2y$

Substitute the value of x in the equation 2

$\rm 3x+y=18\\\\3(11-2y)+y=18\\\\33-6y+y=18\\\\-5y=18-33\\\\-5y=-15\\\\5y=15\\\\y=\dfrac{15}{5}\\\\y=3$

Substitute the value of y in the equation 1

$\rm x+2y=11\\\\x + 2(3)=11\\\\x+6=11\\\\x=11-6\\\\x=5$

Hence, the ordered pair is the solution to the system is (5,3).

Learn more about ordered pair here;

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