Now, perform the same move to both sides of the equation to find the value of x.

Question

y= 2x−1
x= −6y+20
x
=
−6(2x−1) + 20

x
=
−6(2x+−1) + 20

x
=
−12x + 6 + 20

x
=
−12x + 26
+
12x
+
12x

13x
=
26

x
=

Answer 1

To solve the equation step by step:

1. Start with the two equations given: \[ y = 2x - 1 \] \[ x = -6y + 20 \]

2. Substitute \( y \) from the first equation into the second equation: \[ x = -6(2x - 1) + 20 \]

3. Distribute \(-6\): \[ x = -12x + 6 + 20 \]

4. Combine like terms: \[ x = -12x + 26 \]

5. Add \( 12x \) to both sides: \[ x + 12x = 26 \] \[ 13x = 26 \]

6. Divide both sides by 13: \[ x = \frac{26}{13} \] \[ x = 2 \]

Thus, the value of \( x \) is \( 2 \).