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Solve this simultaneous equations 2x+3y =11
3x+5y = 18

User Gmauch
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Final answer:

To solve the given simultaneous equations, the method of substitution or elimination is used, resulting in the solution x = 1 and y = 3.

Step-by-step explanation:

To solve the simultaneous equations 2x + 3y = 11 and 3x + 5y = 18, we'll use the method of substitution or elimination. We'll solve the first equation for x:

x = (11 - 3y) / 2

Now, we substitute this x-value into the second equation:

3((11 - 3y) / 2) + 5y = 18

Multiplying through by 2 to clear the denominator, we get:

3(11 - 3y) + 10y = 36

This simplifies to:

33 - 9y + 10y = 36

Which then simplifies to y = 3. Next, we substitute y back into the first equation:

2x + 3(3) = 11

2x + 9 = 11

2x = 2

x = 1

The solution to the system of equations is x = 1 and y = 3.

User Izuka
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Here is the answer no need to thank
Solve this simultaneous equations 2x+3y =11 3x+5y = 18-example-1
User Nucleons
by
8.1k points

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