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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
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)