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Solve simultaneous equations of x+y=4 and y=2x+1

Sagot :

Answer:

x=1 and y=3

Step-by-step explanation:

To solve, we could find either x in terms of y or y in terms of x. We could find x first. Because x+y=4, subtracting y from both sides would give us  x=4-y. Plugging this in to the second equation, y=2(4-y)+1, giving y=8-2y+1, simplifying even further, 3y=9 and finally y=3. If y=3, plugging y in to either equation would give us x=1, because 1+3=4 and 3=2+1.

x=1 and y=3

wegnerkolmp2741o

Answer:

(1,3)

Step-by-step explanation:

Solve simultaneous equations of x+y=4 and y=2x+1

Substitute the second equation into the first.

x+y =4

x+ (2x+1) = 4

3x+1 =4

Solve for x.

3x+1-1 =4-1

3x=3

Divide by 3

3x/3 =3/3

x=1

Now solve for y.

x+y=4

1+y=4

1+y-1=4-1

y=3

The solution is (1,3)

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