Answer:
x = -1/4
Step-by-step explanation:
<u>Find</u><u> the equation of the line that passes through points (0, 2) and (1, 1). </u><u><em>(Slope)</em></u>
m = (1 - 2) / (1 - 0) = -1
<u>The equation of the line in slope intercept form is</u>
y = mx + b
<u>We have</u>
m = -1
b = 2 <u><em>(The y-intercept is given)</em></u>
<u>Substitute</u>
y = -x + 2 <em><u>(Equation A)</u></em>
<u>Now</u><u> solve the system of equations</u>
y = -x + 2 <u><em>(Equation A)</em></u>
y = 3x + 3 <u><em>(Equation B)</em></u>
<u>Solve the system by substitution, equate equation A and equation B</u>
3x + 3 = -x + 2
<u>Solve for x</u>
3x + x = 2 - 3
4x = -1
x = -1/4
<u>Therefore, the x-coordinate of the intersection both lines is 1/4 </u>
<u>(Kinda copied an answer, but this seems right. Hopefully.)</u>