To find the values of x and y that satisfy the system of equations x + y = 4 and y = 2x + 1, you can substitute the expression for y from the second equation into the first equation. This gives you x + (2x + 1) = 4. Simplifying, you get 3x + 1 = 4, which leads to 3x = 3 and x = 1. Substituting x = 1 back into the second equation, you find y = 2(1) + 1, so y = 3. Therefore, the solution to the system of equations is x = 1 and y = 3.
x equals 4
2x+5=3x+1 -x=-4 x=4
(4 + 2x) - (-2x + 1) = 13 + 6 4 + 2x + 2x -1 = 19 4x +3 = 19 4x = 19 - 3 4x = 16 therefore x = 16/4 x = 4
(3, 1)
(4, -1)
x equals 4
2x+5=3x+1 -x=-4 x=4
1
(4 + 2x) - (-2x + 1) = 13 + 6 4 + 2x + 2x -1 = 19 4x +3 = 19 4x = 19 - 3 4x = 16 therefore x = 16/4 x = 4
(3, 1)
(4, -1)
2x - 1 = 3x + 4 Subtract 2x from both sides: - 1 = x + 4 Subtract 4 from both sides: -5 = x
4+2x-2x+1=13+6 Combine like terms. (4+1=5; 2x-2x=0; 13+6=19) 5=19 This problem has no solution.
2x+1 = 9 2x = 9-1 2x = 8 x = 4
5 - 2x = 8 x = -1 and 1/2 4x = 6 x = 6/4 or 3/2
(2x-4)(x-1) = 0
4