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x+5y=-2 2x+y=5 The point of Intersection of the lines has a y-coordinate of __ -1 1 3

Problemas

x+5y=-2
2x+y=5
The point of Intersection of the lines has a y-coordinate of __
-1
1
3

x+5y=-2 2x+y=5 The point of Intersection of the lines has a y-coordinate of __ -1 1 3

Solución

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Pabloveterano · Tutor durante 9 años
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To find the y-coordinate of the point of intersection of the two lines, we can solve the system of equations.<br /><br />Given:<br />$x+5y=-2$<br />$2x+y=5$<br /><br />We can solve this system of equations using the substitution method.<br /><br />From the second equation, we can express $x$ in terms of $y$:<br />$x = 5 - y$<br /><br />Now, substitute this expression for $x$ into the first equation:<br />$(5 - y) + 5y = -2$<br />$5 - y + 5y = -2$<br />$5 + 4y = -2$<br />$4y = -7$<br />$y = -\frac{7}{4}$<br /><br />Therefore, the y-coordinate of the point of intersection of the lines is $-\frac{7}{4}$.<br /><br />So, the correct answer is $-\frac{7}{4}$.
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