Let us suppose missing term is y
so it becomes - ( x-1) + 5 = 2 ( x+3) - y
let us now try solving it for x ( in terms of y )
-x + 1 + 5 = = 2x + 6 - y
-x + 6 = 2x + 6 -y
6 + y = 2x + 6 +x
y = 3x
y / 3 = x
but x is given to be infinite . let us try placing y= the given options
x= x/3 which is not possible
x= 3x/3 which is giving valid statement
x= 1/3 which is a finite value
x= 5/3 again a finite value
so it is only y= 3x which could be the answer
Answer : option second that is 3x
Answer:
Solution: x = -2; y = 3 or (-2, 3)
Step-by-step explanation:
<u>Equation 1:</u> y = -5x - 7
<u>Equation 2:</u> -4x - 3y = -1
Substitute the value of y in Equation 1 into the Equation 2:
-4x - 3(-5x - 7) = -1
-4x +15x + 21 = -1
Combine like terms:
11x + 21 = - 1
Subtract 21 from both sides:
11x + 21 - 21 = - 1 - 21
11x = -22
Divide both sides by 11 to solve for x:
11x/11 = -22/11
x = -2
Now that we have the value for x, substitute x = 2 into Equation 2 to solve for y:
-4x - 3y = -1
-4(-2) - 3y = -1
8 - 3y = -1
Subtract 8 from both sides:
8 - 8 - 3y = -1 - 8
-3y = -9
Divide both sides by -3 to solve for y:
-3y/-3 = -9/-3
y = 3
Therefore, the solution to the given systems of linear equations is:
x = -2; y = 3 or (-2, 3)
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