Question

42x+24y=156 ; 24x+42y=174 simultaneous equation​

Answer 1

Answer:

let 42 X + 24 y = 156, then 24 x + 42 y = 174 therefore we have to do simultaneous equation we have to sum 156 + 174 =330

Answer 2

Answer:

♦ x = 2

♦ y = 3

Step-by-step explanation:

To solve:

Solve the following simultaneous equations:

• 42x + 24y = 156 and 24x + 42y = 174

Solution:

We will solve this equation by the method of elimination by substitution.

1. First find the value of any one variable from any one among the given equations.
2. Then substitute the value of the variable we have found in the other equation.
3. Then substitute the value of variable, we found in the 2 step and get the value of resultant variable.

Let's find it...

• 42x + 24y = 156
• 42x = 156 - 24y
• x = (156 - 24y)/42 ...eq 1

Take second equation and substitute the value of x.

• 24(156 - 24y)/42 + 42y = 174
• 24(156 - 24y) + 1764y = 7308
• 3744 - 576y + 1764y = 7308
• 3744 + 1188y = 7308
• 1188y = 7308 - 3744
• 1188y = 3564
• y = 3564/1188
• y = 3

Then, Substitute the value of y in eq 1 to get the value of x.

• x = (156 - 24 × 3)/42
• x = (156 - 72)/42
• x = 84/42
• x = 42/21
• x = 2

Therefore,

x = 2

y = 3

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