1. Find the value of y in the equation 2x + y = 7 if x = 1. Find x, if y=0
Answers
Answer:
(i) find y if x = 2
2x + y = 7
2 multiplied by 2 + y = 7
4 + y = 7
y = 7 - 4 (because 4 is transposed to RHS to LHS)
y = 3
therefore the value of y is 3
(ii) find the value of x if
y = 1
2x + y = 7
2x + 1 = 7
2x = 7 -1 (1 is transposed to LHS to RHS)
2x = 6
x= 6 ÷ 2
x = 3
therefore the value of is 3
Step-by-step explanation:
Given: Equation 2x+y=7 is given
To find: Value of y if x=1 and value of x if y=0
Explanation: In first case: x=1
Putting x=1 in 2x+y=7:
2*1+y= 7
=> 2+y =7
=> y= 7-2( Transposing 2 to other side)
= 5
Therefore, y= 5 in this case.
In second case: y=0
Putting y= 0 in equation 2x+y=7:
2*x + 0 =7
=> 2x =7
=> x = 7/2( Dividing both sides by 2)
= 3.5
Therefore, x= 3.5 in this case.
Therefore, value of y when x=1 is 5 and value of x when y= 0 is 3.5