the value of x satisfying both the equations 4x-5=y and 2x-y=3 when y=-1 is......?
Answers
Answer:
The answer to your question is....
The value of x satisfying both the equations is x = 1, as well as the value of 'x' when y=-1 for both the equations is x=1.
Given:
The equations 4x-5=y and 2x-y=3.
The value of y=-1.
To Find:
The value of 'x' that satisfies both the equations.
The value of the 'x' when y = -1.
Solution:
We have been given two equations:
4x - 5 = y
⇒ 4x - y = 5 ......................(I)
2x - y = 3 ......................(II)
To find the value of 'x' that satisfies both the given equations, we need to solve them simultaneously.
Subtracting equation (II) from (I), we get:
(4x - y)-(2x - y) = 5-3
⇒2x = 2
⇒ x = 1.
Hence, the value of 'x' that satisfies both the equations is x=1.
Now, when y = -1
a) Equation (I) becomes,
4x - (-1) = 5
⇒ 4x + 1 = 5
⇒ 4x = 4
⇒ x = 1.
b) Equation (II) becomes,
2x - y = 3
2x - (-1) = 3
⇒ 2x = 2
⇒ x = 1.
∴ The value of x satisfying both the equations is x = 1, as well as the value of 'x' when y=-1 for both the equations is x=1.
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