Question

(3,5.1,5.2,5.4) Solve the following system of equations by substitution or elimin 2x+7y=8 6x+y=4

Answer 1

To solve the system of equations by substitution or elimination, choose a method and solve one equation for one variable and substitute it into the other equation. In this case, the substitution method is used to find that x = 0.5 and y = 0.2.

Step-by-step explanation:

To solve the system of equations by substitution or elimination, you need to choose a method and solve one equation for one variable and substitute it into the other equation. Let's solve the system using the substitution method:

1. Start with the first equation: 2x + 7y = 8.
2. Solve the first equation for one variable. Let's solve it for x. Subtract 7y from both sides: 2x = 8 - 7y.
3. Divide both sides of the equation by 2 to isolate x: x = (8 - 7y) / 2.
4. Now, substitute the value of x in the second equation: 6((8 - 7y) / 2) + y = 4.
5. Simplify and solve for y: 12 - 21y + y = 8. Combine like terms: -20y = -4. Divide both sides of the equation by -20: y = 0.2.
6. Finally, substitute the value of y back into the equation to find x: x = (8 - 7(0.2)) / 2. Simplify: x = 0.5.

The solution to the system of equations is x = 0.5 and y = 0.2.