-12 (?)
4x + 5 = 13. To solve algebraic equations, you need to get the variable by itself on one side of the equation. Start by subtracting 5 from both sides >>> 4x = 8. Then divide both sides by 4 to find what 'x' equals >>> x = 2.
-4x-4 equals -16. Add 4 to both sides; -4x equals -12. Divide both sides by -4; x equals 3.
Solving for two unknowns (x and y) requires two independent equations.
To solve for 2 unknown variables you need 2 independent equations. You have only 1.
16
-12 (?)
4x + 5 = 13. To solve algebraic equations, you need to get the variable by itself on one side of the equation. Start by subtracting 5 from both sides >>> 4x = 8. Then divide both sides by 4 to find what 'x' equals >>> x = 2.
-4x + 8 = -4 -4x + 8 - 8 = -4 -8 -4x = -12 -4x/-4 = -12/-4 x = 3
-4x-4 equals -16. Add 4 to both sides; -4x equals -12. Divide both sides by -4; x equals 3.
y = -24x - 3y = 18 (use the substitution method)4x - 3y = 18 (substitute -2 for y, and solve for x))4x - 3(-2) = 184x + 6 = 18 (subtract 6 to both sides)4x = 12 (divide by 2 to both sides)x = 3Thus, (3, -2) is the solution of the given system of equations.
Solving for two unknowns (x and y) requires two independent equations.
To solve for 2 unknown variables you need 2 independent equations. You have only 1.
-1
The easiest way to solve this system of equations is to solve for a variable in one of the equations. In the second equation, y = 3x. This can be substituted into the first equation: y = -4x - 7; 3x = = -4x - 7; 7x = -7; x = -1. Since we have determined that x equals -1, we can then substitute -1 into either equation to find our corresponding y-value. Thus: y = 3x; y = 3(-1) y = -3. Thus, the solution to this system of equations is (-1, -3).
7x = 3x - 12 4x=-12 x=-3
y = 4, x = 6