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3x+5y=78 2x-y=0 The point of Intersection of the lines has an x-coordinate of __ 78 -6 6

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3x+5y=78
2x-y=0
The point of Intersection of the lines has an x-coordinate of __
78
-6
6

3x+5y=78 2x-y=0 The point of Intersection of the lines has an x-coordinate of __ 78 -6 6

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Oscarexperto · Tutor durante 3 años
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To find the x-coordinate of the point of intersection of the two lines, we can solve the system of equations.<br /><br />Given:<br />$3x + 5y = 78$<br />$2x - y = 0$<br /><br />Step 1: Solve the second equation for y.<br />$2x - y = 0$<br />$y = 2x$<br /><br />Step 2: Substitute the expression for y into the first equation.<br />$3x + 5(2x) = 78$<br />$3x + 10x = 78$<br />$13x = 78$<br />$x = 6$<br /><br />Therefore, the x-coordinate of the point of intersection of the lines is 6.
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