Question

Step by step answerx+y=15 x-y=3​

Answer 1

The value of y and x in the equation is 6 and 9 respectively

How to solve simultaneous equation

Given:

x + y = 15

x - y = 3

• Add both equations to eliminate y

x + x = 15 + 3

2x = 18

x = 18/2

x = 9

• substitute x = 9 into

x - y = 3

9 - y = 3

- y = 3 - 9

-y = -6

y = 6

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Answer 2

$\huge \bf༆ Answer ༄$

Let's solve ~

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:x + y = 15 \: \: \: \: \: (1)$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:x - y = 3 \: \: \: \: \: (2)$

From adding both equations, we get ~

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:x + y + x - y = 15 + 3$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:2x = 18$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:x = 18 \div 2$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:x = 9$

Now, plug the value of x in equation 1 to find the value of y ;

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:x + y = 15$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:9 + y = 15$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:y = 15 - 9$

${ \qquad{ \sf{ \dashrightarrow}}} \: \: \sf \:y = 6$