Y=6x+10

Question

Y=4x
Solve by substitution

Answer 1

To solve the system of equations by substitution, follow these steps:

1. Set the equations: $$Y=6x+10(1)$$ $$Y=4x(2)$$

2. Substitute equation (2) into equation (1): Since both equations equal $Y$, we can set them equal to each other: $$6x+10=4x$$

3. Solve for $x$: Subtract $4x$ from both sides: $$6x-4x+10=0$$ This simplifies to: $$2x+10=0$$ Now, subtract 10 from both sides: $$2x=-10$$ Divide by 2: $$x=-5$$

4. Substitute $x$ back into either equation to find $Y$: We can use equation (2): $$Y=4x=4(-5)=-20$$ So, $Y=-20$.

5. Write the solution as an ordered pair: The solution to the system of equations is: $$(x,Y)=(-5,-20)$$

Thus, the solution to the system of equations is $(-5,-20)$.