how do you use the substitution method for this problem
2x-3y=-2
4x+y=24
To solve this system of equations, we can use the method of substitution or elimination. Let's use the substitution method. From the second equation, we can express y as y = 55 - 4x. Substitute this expression for y in the first equation: 7x - 5(55 - 4x) = 76. Simplify this equation to solve for x. Then, substitute the value of x back into one of the original equations to find the value of y.
You'd need another equation to sub in
To solve a system of equations using the substitution method, first, solve one of the equations for one variable in terms of the other. Then, substitute this expression into the other equation to eliminate that variable. This will result in a single equation with one variable, which can be solved for its value. Finally, substitute this value back into the original equation to find the value of the other variable.
Yes, a system of linear equations can be solved by substitution. This method involves solving one of the equations for one variable and then substituting that expression into the other equation. This process reduces the system to a single equation with one variable, which can then be solved. Once the value of one variable is found, it can be substituted back to find the other variable.
It seems like there's a typo in your equation. If you meant (x + 2y = 13), you can use the substitution method by solving for (x) in terms of (y). Rearranging gives (x = 13 - 2y). You can then substitute this expression for (x) into another equation if you're solving a system of equations.
To solve this system of equations, we can use the method of substitution or elimination. Let's use the substitution method. From the second equation, we can express y as y = 55 - 4x. Substitute this expression for y in the first equation: 7x - 5(55 - 4x) = 76. Simplify this equation to solve for x. Then, substitute the value of x back into one of the original equations to find the value of y.
You'd need another equation to sub in
To solve a system of equations using the substitution method, first, solve one of the equations for one variable in terms of the other. Then, substitute this expression into the other equation to eliminate that variable. This will result in a single equation with one variable, which can be solved for its value. Finally, substitute this value back into the original equation to find the value of the other variable.
Substitution method: from first equation y = 5x - 8. In the second equation this gives 25x - 5(5x - 8) = 32 ie 25x - 25x + 40 = 32 ie 40 = 32 which is not possible, so the system has no solution. Multiplication method: first equation times 5 gives 25x - 5y = 40, but second equation gives 32 as the value of the identical expression. No solution.
(2,3)
Yes, a system of linear equations can be solved by substitution. This method involves solving one of the equations for one variable and then substituting that expression into the other equation. This process reduces the system to a single equation with one variable, which can then be solved. Once the value of one variable is found, it can be substituted back to find the other variable.
It seems like there's a typo in your equation. If you meant (x + 2y = 13), you can use the substitution method by solving for (x) in terms of (y). Rearranging gives (x = 13 - 2y). You can then substitute this expression for (x) into another equation if you're solving a system of equations.
Solve this system of equation using substitution 2x plus 6y equals 24 and 3x-2x equals 24 ?Improved Answer:2x+6y = 243x-2x = 24 => x =24Substitute the value of x into the top equation to find the value of y:48+6y = 246y = 24-486y = -24y = -4So: x = 24 and y = -4
From first equation: y = 2x - 5Substitute this in second equation: 3(2x - 5) - x = 5, ie 6x - 15 - x = 5ie 5x = 5 + 15 so x = 4 and y = 3
If the process of substituting leads to an identity rather than an equation then the system has infinitely many solutions.
By elimination and substitution
From first equation, -y = 3x + 3. Substitute in second equation: -3x + 5(3x + 3) = -21 ie 12x = -36 so x = -3 and y = -(-9 + 3) = 6. Easier method: subtract first equation from second giving -4y = -24 so y = 6, this in first equation gives -6 = 3x + 3, ie 3x = -9 so x = -3