Solve the system algebraically. y = 3 - x 3x + 4y = 1 What is the value of x? -11 17/2 11
2 answers:
Y= 3 -x (1)
3x + 4y = 1 (2)
Substitute (1) for y in (2)
3x + 4(3 - x) = 1
Expand, simplify and then solve for x
3x + 12 - 4x = 1
3x - 4x = 1 -12
-x = -11
x = 11
Answer:
The required value of x = 11
Step-by-step explanation:
The system of equations are given to be :
y = 3 - x .......(1)
3x + 4y = 1 ......(2)
We need to find the value of x by solving these two given system of equations
So, To solve the given equations : Putting value of y from equation (1) into equation (2)
⇒ 3x + 4y = 1
⇒ 3x + 4(3 - x) = 1
⇒ 3x + 12 - 4x = 1
⇒ -x = 1 - 12
⇒ -x = -11
⇒ x = 11
Thus, The required value of x = 11
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