In the equation 2x + 3y = 11, find the value of (a) x if y = 5 and (b) y if x =4. About the author Emma
Step-by-step explanation: when y=5 2x + 3y = 11 => 2x + 3*5 = 11 => 2x + 15 = 11 => 2x = 11 – 15 => 2x = – 4 => x = -4/2 = -2 when x=4 2x + 3y = 11 => 2*4 + 3y = 11 => 8 + 3y = 11 => 3y = 11 – 8 => 3y = 3 => y = 3/3 = 1 Reply
Equation : 2x + 3y = 11 ㅤㅤㅤㅤㅤㅤㅤ (a) To find = Value of x Given = y = 5 So, Let‘s solve : 2x + 3y = 11 ➭2x + 3(5) = 11 ➭ 2x + 15 = 11 ➭2x = 11 – 15 ➭2x = -4 ➭ x = -2 Therefore,Value of x = –2 ✓ ㅤㅤㅤㅤㅤㅤ ㅤㅤㅤㅤㅤㅤㅤ (b) To find = Value of y Given = x = 4 So, let‘s solve : 2 x + 3y = 11 ➭ 2(4) + 3y = 11 ➭ 8 + 3y = 11 ➭ 3y = 11 -8 ➭ 3y = 3 ➭ y = 1 Therefore ,Value of y = 1 ✓ Reply
Step-by-step explanation:
when y=5
2x + 3y = 11
=> 2x + 3*5 = 11
=> 2x + 15 = 11
=> 2x = 11 – 15
=> 2x = – 4
=> x = -4/2
= -2
when x=4
2x + 3y = 11
=> 2*4 + 3y = 11
=> 8 + 3y = 11
=> 3y = 11 – 8
=> 3y = 3
=> y = 3/3
= 1
Equation : 2x + 3y = 11
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(a) To find =
Given =
So, Let‘s solve :
2x + 3y = 11
➭2x + 3(5) = 11
➭ 2x + 15 = 11
➭2x = 11 – 15
➭2x = -4
➭ x = -2
Therefore,Value of x = –2 ✓
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(b) To find =
Given =
So, let‘s solve :
2 x + 3y = 11
➭ 2(4) + 3y = 11
➭ 8 + 3y = 11
➭ 3y = 11 -8
➭ 3y = 3
➭ y = 1
Therefore ,Value of y = 1 ✓