Find the x-intercept of the following equation. Simplify the answer. 5x − y = –7
2 answers:
Answer:
The x-intercept is -7/5.
Step-by-step explanation:
Firstly, you must know what is intercept<em>.</em><em> </em><em>I</em><em>n</em><em>t</em><em>e</em><em>r</em><em>c</em><em>e</em><em>p</em><em>t</em> is the line where it touches the axis. When a line touches the one axis, the other axis <em>m</em><em>u</em><em>s</em><em>t</em><em> </em>be zero. So in this question, it given to us to find the x-intercept which means that y coordinate is zero. We have to let y equals to zero and solve for the value of x :
Let y = 0,
5x - y = -7
5x - 0 = -7
5x = -7
x = -7/5(improper fraction) or -1 2/5(mixed no.)
You might be interested in
Answer:
<h2>For c = 5 → two solutions</h2><h2>For c = -10 → no solutions</h2>Step-by-step explanation:
We know
for any real value of <em>a</em>.
|a| = b > 0 - <em>two solutions: </em>a = b or a = -b
|a| = 0 - <em>one solution: a = 0</em>
|a| = b < 0 - <em>no solution</em>
<em />
|x + 6| - 4 = c
for c = 5:
|x + 6| - 4 = 5 <em>add 4 to both sides</em>
|x + 6| = 9 > 0 <em>TWO SOLUTIONS</em>
for c = -10
|x + 6| - 4 = -10 <em>add 4 to both sides</em>
|x + 6| = -6 < 0 <em>NO SOLUTIONS</em>
<em></em>
Calculate the solutions for c = 5:
|x + 6| = 9 ⇔ x + 6 = 9 or x + 6 = -9 <em>subtract 6 from both sides</em>
x = 3 or x = -15