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-4 equals -16. Add 4 to both sides; -4x equals -12. Divide both sides by -4; x equals 3.
To solve the system of equations using the elimination method, first rewrite the equations: (-4x - 2y = 12) (4x + 8y = 24) Next, add the two equations to eliminate (x): [ (-4x + 4x) + (-2y + 8y) = 12 + 24 \implies 6y = 36 ] Solving for (y) gives (y = 6). Substitute (y) back into one of the original equations to find (x). Using the first equation: (-4x - 2(6) = 12 \implies -4x - 12 = 12 \implies -4x = 24 \implies x = -6). The solution to the system is (x = -6) and (y = 6).
Solving for two unknowns (x and y) requires two independent equations.
-12 (?)
16
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.
To solve the system of equations using the elimination method, first rewrite the equations: (-4x - 2y = 12) (4x + 8y = 24) Next, add the two equations to eliminate (x): [ (-4x + 4x) + (-2y + 8y) = 12 + 24 \implies 6y = 36 ] Solving for (y) gives (y = 6). Substitute (y) back into one of the original equations to find (x). Using the first equation: (-4x - 2(6) = 12 \implies -4x - 12 = 12 \implies -4x = 24 \implies x = -6). The solution to the system is (x = -6) and (y = 6).
To solve for 2 unknown variables you need 2 independent equations. You have only 1.
Solving for two unknowns (x and y) requires two independent equations.
-1
7x = 3x - 12 4x=-12 x=-3
To solve the simultaneous equations (5x + 2y = 11) and (4x - 3y = 18), we can use the substitution or elimination method. By manipulating the equations, we find that (x = 4) and (y = -3). Thus, the solution to the simultaneous equations is (x = 4) and (y = -3).