Simply take the first equation and substitute it for y in the second one.
We're told:
y = -3x + 5
and:
5x - 4y = -3
So we can say:
5x - 4(-3x + 5) = -3
5x + 12x - 20 = -3
17x = 17
x = 1
Then plug that value into one of our original equations to solve for y:
y = -3x + 5
y = -3(1) + 5
y = 5 - 3
y = 2
So the two equations intersect at the point (1, 2).
(2,3)
Use the substitution method to solve the system of equations. Enter your answer as an ordered pair.y = 2x + 5 x = 1
George saves nickels and dimes for tolls. If he has 8 coins worth $2.60,how many are nickels and how many are dimes? Answer this question by using system of equation.
what is the solution of x-5y=10 and 2x-10y=20
x+2(x+3) = 12 x+2x+6 = 12 x+2x = 12-6 3x = 6 x = 2 and y = 5
(2,3)
You'd need another equation to sub in
elimination, substitution and graphing
True. To solve a three variable system of equations you can use a combination of the elimination and substitution methods.
Use the substitution method to solve the system of equations. Enter your answer as an ordered pair.y = 2x + 5 x = 1
x+y=5
You cant solve it unless it is an equation. To be an equation it must have an equals sign.
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
You use substitution when you can solve for one variable in terms of the others. By substituting, you remove one variable from the equation, which can then be solved. Once you solve for one variable, you can use substitution to find the other.
In that instance, it means that the lines never touch.
2
George saves nickels and dimes for tolls. If he has 8 coins worth $2.60,how many are nickels and how many are dimes? Answer this question by using system of equation.