The number of solutions an equation has depends on the nature of the equation. A linear equation typically has one solution, a quadratic equation can have two solutions, and a cubic equation can have three solutions. However, equations can also have no solution or an infinite number of solutions depending on the specific values and relationships within the equation. It is important to analyze the equation and its characteristics to determine the number of solutions accurately.
4x-7=5x-2 x=-5
7
4x - 3 - 5x + 7 = 6 4x - 5x = 3 - 7 + 6 -1x = 2 x = -2
(2x - 7)(x + 1)
4x-9(x plus 1)7-5x?
If you mean: 2x+y = -6 and 5x-3 = 7 then the solutions are x = -1 and y = -4
Factors (x - 7)(x + 2) so x = 7 or -2.
The number of solutions an equation has depends on the nature of the equation. A linear equation typically has one solution, a quadratic equation can have two solutions, and a cubic equation can have three solutions. However, equations can also have no solution or an infinite number of solutions depending on the specific values and relationships within the equation. It is important to analyze the equation and its characteristics to determine the number of solutions accurately.
2X^2 + 5X - 10 = X^2 + 4 subtract the X^2 and 4 from each side X^2 + 5X - 14 = 0 what two factors of 14 add up to 5 ? (X - 2)(X + 7) X = 2 X = - 7
4x-7=5x-2 x=-5
5x + 2 = 7 Subtract 2 from each side: 5x = 5 Divide both sides by 5: x = 1
so start with y = -x^2 + 5x + 7 then complete the square: = -(x^2 -5x -7) = -(x^2 -5x + 4/25 - 7 -4/25) = -( (x-2/5)(x-2/5) -7 -4/25) = -(x-2/5)^2 -(7 4/25)
7
7
3x + 2 + 2x = 7; 3x + 2x = 5x, so 5x + 2 = 7; 7-2=5, so 5x=5. 5x divided by 5 and 5 divided by 5 equals 1, so x equals 1.
4x - 3 - 5x + 7 = 6 4x - 5x = 3 - 7 + 6 -1x = 2 x = -2