The value of y is (-2)
Step-by-step explanation:
To solve the linear equation, Number of unknown variables and number of equations must be same.
In given equation,
-6x+4y=-62 Equation 1
-3x-5y=-17 Equation 2
The number of Variable are 2,
So, To solve for value of y, we need to make use of two given equation and it can't be found from one single equation
Let multiply Equation 2 with 2 units
we get, -6x-10y=-34
Now, Subtracting both the equations
(-6x+4y)-(-6x-10y)=(-62)-(-34)
4y+10y=(-28)
14y=(-28)
y=(-2)
Therefore, the value of y is (-2)
The value of y for the solution in the system of linear equations is -2.
Statement of equality between two expressions consisting of variables and numbers.
Given equations:
-6x+4y=-62 ..............................................(1)
-3x-5y=-17 ...............................................(2)
Let multiply Equation(2) by 2, we get
-6x-10y=-34.................................(3)
Subtract equation 3 from equation 1, we get
(-6x+4y)-(-6x-10y)=(-62)-(-34)
4y+10y=-28
14y=-28
y=-2
Hence, the value of y is -2.
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