Answer:
(6 , 3)
Step-by-step explanation:
Given
x + 3y =15 ------- equation 1
4x + 2y = 30 --------- equation 2
x = 15 - 3y
Put value of x in equation 2
4 (15 - 3y) + 2y = 30
60 - 12y + 2y = 30
-10y = -30
divide by '-10' on both sides
y = 3
now, put value of y in equation 1
x + 3(3) = 15
x + 9 = 15
x = 15 - 9
x = 6
So , (x , y) = (6 , 3)
The solution to the system of equations; x + 3 y = 15 and 4 x + 2 y = 30 is (x , y) = (6 , 3). thus option A is correct.
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given;
Let consider x + 3y =15 is a equation 1 and 4x + 2y = 30 is a equation 2
x = 15 - 3y
We have to find the solution to the system of equations; x + 3 y = 15 and 4 x + 2 y = 30.
Now, Put value of x in equation 2
4 (15 - 3y) + 2y = 30
60 - 12y + 2y = 30
-10y = -30
Now, we will divide by '-10' on both sides to get the value of y,
y = 3
Now, put value of y in equation 1 to get the value of x,
x + 3(3) = 15
x + 9 = 15
x = 15 - 9
x = 6
So the solution to the system of equations; x + 3 y = 15 and 4 x + 2 y = 30 is (x , y) = (6 , 3). thus option A is correct.
Learn more about equations here;
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